{"id":65795,"date":"2026-03-04T19:15:57","date_gmt":"2026-03-04T11:15:57","guid":{"rendered":"https:\/\/www.danran1967.com\/?p=65795"},"modified":"2026-03-04T19:17:54","modified_gmt":"2026-03-04T11:17:54","slug":"%e5%a5%b9%e6%98%af20%e4%b8%96%e7%ba%aa%e6%9c%80%e6%9c%89%e5%bd%b1%e5%93%8d%e7%9a%84%e6%95%b0%e5%ad%a6%e5%ae%b6%e4%b9%8b%e4%b8%80","status":"publish","type":"post","link":"https:\/\/www.danran1967.com\/?p=65795","title":{"rendered":"\u5979\u662f\u201c20\u4e16\u7eaa\u6700\u6709\u5f71\u54cd\u7684\u6570\u5b66\u5bb6\u201d\u4e4b\u4e00"},"content":{"rendered":"

\u4f5c\u8005: \u9648\u5173\u8363<\/p>\n

2022\u5e747\u67086\u201314\u65e5\uff0c\u4e16\u754c\u6570\u5b66\u5bb6\u5927\u4f1a\u5c06\u5728\u4fc4\u7f57\u65af\u5723\u5f7c\u5f97\u5821\u53ec\u5f00\uff0c\u5c4a\u65f6\u6709\u4e00\u6b21\u9686\u91cd\u7684\u5b66\u672f\u6d3b\u52a8\u4ee5\u7eaa\u5ff5\u5723\u5f7c\u5f97\u5821\u56fd\u7acb\u5927\u5b66\u7684\u6821\u53cb\u3001\u6570\u5b66\u5bb6\u5965\u5c14\u52a0\u00b7\u62c9\u5fb7\u4efb\u65af\u5361\u5a05\uff08Olga A. Ladyzhenskaya\uff0c1922-2004\uff09\u7684100\u5468\u5e74\u8bde\u8fb0\uff0c\u540c\u65f6\u9881\u53d1\u7b2c\u4e00\u679a\u201c\u62c9\u5fb7\u4efb\u65af\u5361\u5a05\u6570\u5b66\u7269\u7406\u5956\u7ae0\u201d\uff08Ladyzhenskaya Medalin Mathematical Physics\uff09\u3002\u56fd\u9645\u6570\u5b66\u8054\u76df\uff08International Mathematics Union\uff09\u8fd9\u5219\u6d88\u606f\u7684\u53d1\u5e03\uff0c\u91cd\u65b0\u5524\u8d77\u4e86\u4eba\u4eec\u5bf9\u8fd9\u4f4d\u66fe\u7ecf\u88ab\u9009\u4e3a\u201c20\u4e16\u7eaa\u6700\u6709\u5f71\u54cd\u7684\u6570\u5b66\u5bb6\u201d\u4e4b\u4e00\u7684\u5973\u6570\u5b66\u5bb6\u7684\u8bb0\u5fc6\u548c\u6000\u5ff5\u3002<\/p>\n

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\u56fe1 \u5965\u5c14\u52a0\u00b7\u4e9a\u529b\u5c71\u5fb7\u7f57\u8299\u5a1c\u00b7\u62c9\u5fb7\u4efb\u65af\u5361\u5a05\uff08Olga AlexandrovnaLadyzhenskaya\uff0c1922-2004\uff09<\/p>\n

\u4e00\u3001<\/strong>\u751f\u5e73\u4e0e\u7ecf\u5386<\/strong><\/p>\n

\u5965\u5c14\u52a0\u4e8e1922\u5e743\u67087\u65e5\u51fa\u751f\u5728\u4fc4\u7f57\u65af\u5317\u90e8\u7684\u4e00\u4e2a\u4e0d\u5230\u56db\u5343\u4eba\u53e3\u7684\u5c0f\u9547Kologriv\uff0c\u5f53\u5e74\u4fc4\u56fd\u6b63\u5904\u5728\u7b2c\u4e00\u6b21\u4e16\u754c\u5927\u6218\u540e\u7684\u7ecf\u6d4e\u8427\u6761\u65f6\u671f\u3002\u5979\u7684\u7236\u4eb2\u4e9a\u5386\u5c71\u5927\uff08Alexander I.Ladyzhenskaya\uff09\u662f\u5f53\u5730\u4e00\u6240\u4e2d\u5b66\u7684\u6821\u957f\u517c\u6570\u5b66\u6559\u5e08\uff0c\u6bcd\u4eb2Anna Mikhailovna\u662f\u4e2a\u5bb6\u5ead\u4e3b\u5987\uff0c\u5965\u5c14\u52a0\u5728\u4e09\u59d0\u59b9\u4e2d\u6392\u884c\u6700\u5c0f\uff0c\u7956\u7236\u6839\u7eb3\u8fea\uff08Gennady Ladyzhensky\uff09\u662f\u4e2a\u753b\u5bb6\u3002<\/p>\n

1937\u5e74\u5965\u5c14\u52a015\u5c81\uff0c\u7236\u4eb2\u88abNKVD\uff08KGB\u7684\u524d\u8eab\uff09\u4ee5\u201c\u56fd\u5bb6\u7684\u654c\u4eba\u201d\u7f6a\u540d\u902e\u6355\u968f\u540e\u67aa\u6740\uff0c\u8ba9\u6574\u4e2a\u5bb6\u5ead\u4ece\u6b64\u7ecf\u5386\u4e86\u957f\u8fbe\u4e8c\u5341\u5e74\u4e4b\u4e45\u7684\u8270\u96be\u75db\u82e6\u751f\u6daf\u3002\u52301956\u5e74\uff0c\u5965\u5c14\u52a0\u7684\u7236\u4eb2\u88ab\u5b8c\u5168\u65e0\u7f6a\u5e73\u53cd\uff0c\u5bb6\u4eba\u6536\u5230\u7684\u901a\u77e5\u662f\u201c\u6ca1\u6709\u4e0d\u6cd5\u884c\u4e3a\u7684\u8bc1\u636e\u201d\u3002\u90a3\u65f6\u5965\u5c14\u52a0\u5df2\u7ecf34\u5c81\u4e86\u3002<\/p>\n

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\u56fe2 \u5965\u5c14\u52a0\uff08\u5c11\u5e74\u65f6\u671f\uff09<\/p>\n

1939\u5e74\uff0c17\u5c81\u7684\u5965\u5c14\u52a0\u4ee5\u4f18\u79c0\u6210\u7ee9\u4eceKologriv\u9ad8\u4e2d\u6bd5\u4e1a\uff0c\u5230\u5217\u5b81\u683c\u52d2\uff08\u5373\u5723\u5f7c\u5f97\u5821\uff09\u7ee7\u7eed\u6c42\u5b66\u3002\u4f46\u662f\uff0c\u7236\u4eb2\u7684\u5386\u53f2\u95ee\u9898\u8ba9\u6210\u7ee9\u4f18\u5f02\u7684\u5979\u88ab\u7981\u6b62\u8fdb\u5165\u5df2\u7ecf\u8003\u53d6\u7684\u5217\u5b81\u683c\u52d2\u56fd\u7acb\u5927\u5b66\uff08\u5373\u5723\u5f7c\u5f97\u5821\u56fd\u7acb\u5927\u5b66\uff09\u3002\u4f46\u5979\u8fd8\u7b97\u5e78\u8fd0\u8fdb\u5165\u4e86\u6ce2\u514b\u7f57\u592b\u65af\u57fa\u6559\u80b2\u5b66\u9662\uff08Pokrovskii Pedagogical Institute\uff09\uff0c\u5728\u90a3\u91cc\u8bfb\u4e86\u4e24\u5e74\u8bfe\u7a0b\uff0c\u4e8e1941\u5e746\u6708\u6bd5\u4e1a\u3002\u7136\u540e\uff0c\u5979\u5230\u4e86 Gorodets\u9547\u7684\u4e00\u6240\u5b66\u6821\u4efb\u6559\uff0c\u4f461942\u5e74\u53c8\u6298\u56de\u8001\u5bb6 Kologriv\uff0c\u5728\u7236\u4eb2\u751f\u524d\u4efb\u6559\u7684\u4e2d\u5b66\u62c5\u4efb\u6570\u5b66\u6559\u5e08\u3002<\/p>\n

1943\u5e74\uff0c\u7ecf\u8fc7\u591a\u756a\u5468\u6298\u4e4b\u540e\uff0c\u5965\u5c14\u52a0\u7ec8\u4e8e\u8fdb\u5165\u4e86\u83ab\u65af\u79d1\u56fd\u7acb\u5927\u5b66\u6570\u5b66\u529b\u5b66\u7cfb\u4e8c\u5e74\u7ea7\u5c31\u8bfb\u3002\u8be5\u6821\u5f53\u5e74\u4e5f\u53eb\u505a\u83ab\u65af\u79d1\u56fd\u7acb\u7f57\u8499\u8bfa\u7d22\u592b\uff08Lomonosov\uff09\u5927\u5b66\u3002\u5728\u90a3\u91cc\uff0c\u5979\u83b7\u5f97\u4e86\u52a9\u5b66\u91d1\u3002\u5979\u7684\u6307\u5bfc\u6559\u6388\u662f\u8457\u540d\u7684\u6570\u5b66\u5bb6\u4f0a\u4e07\u00b7\u5f7c\u5f97\u7f57\u592b\u65af\u57fa (Ivan G. Petrovsky\uff0c1901-1973)\u3002\u5f7c\u5f97\u7f57\u592b\u65af\u57fa\u4e3b\u8981\u4ece\u4e8b\u504f\u5fae\u5206\u65b9\u7a0b\u7814\u7a76\uff0c\u5bf9\u5e0c\u5c14\u4f2f\u7279\u7b2c19\u548c\u7b2c16\u95ee\u9898\u505a\u51fa\u8fc7\u91cd\u5927\u8d21\u732e\u3002\u5728\u6821\u671f\u95f4\uff0c\u5965\u5c14\u52a0\u7ecf\u5e38\u53c2\u52a0\u4f0a\u65af\u62c9\u57c3\u5c14\u00b7\u76d6\u5c14\u8303\u5fb7\uff08Israel Gelfand\uff0c1913-2009\uff09\u7684\u6570\u5b66\u8ba8\u8bba\u73ed\u3002\u76d6\u5c14\u8303\u5fb7\u88ab\u8ba4\u4e3a\u662f20\u4e16\u7eaa\u6700\u4f1f\u5927\u7684\u6570\u5b66\u5bb6\u4e4b\u4e00\u3002\u5728\u90a3\u91cc\uff0c\u5979\u53d7\u76d6\u5c14\u8303\u5fb7\u548c\u5b89\u5fb7\u70c8\u00b7\u5409\u6d2a\u8bfa\u592b\uff08Andrei N. Tikhonov\uff0c1906-1993\uff09\u5f71\u54cd\u751a\u6df1\u3002<\/p>\n

1947\u5e74\uff0c\u5965\u5c14\u52a0\u4ece\u83ab\u65af\u79d1\u56fd\u7acb\u5927\u5b66\u6bd5\u4e1a\u3002\u5979\u7684\u6bd5\u4e1a\u8bba\u6587\u89e3\u51b3\u4e86\u4e00\u7c7b\u65f6\u53d8\u7cfb\u6570\u629b\u7269\u578b\u504f\u5fae\u5206\u65b9\u7a0b\u7684\u6c42\u89e3\u95ee\u9898\uff0c\u88ab\u5f7c\u5f97\u7f57\u592b\u65af\u57fa\u63a8\u8350\u5230\u300aMathamaticheskii Sbornik\u300b\u53d1\u8868\u3002\u5979\u6bd5\u4e1a\u540e\u548c\u6570\u5b66\u7cfb\u540c\u5b66\u5b89\u5fb7\u70c8\u00b7\u57fa\u8c22\u5217\u592b\uff08Andrei A. Kiselev\uff09\u7ed3\u5a5a\uff0c\u5e76\u8ddf\u968f\u4e08\u592b\u79fb\u5c45\u5230\u5217\u5b81\u683c\u52d2\u3002\u5728\u90a3\u91cc\uff0c\u5979\u51ed\u7740\u83ab\u65af\u79d1\u5927\u5b66\u7684\u5f3a\u529b\u63a8\u8350\u5982\u613f\u4ee5\u507f\u5730\u8fdb\u5165\u4e86\u5217\u5b81\u683c\u52d2\u56fd\u7acb\u5927\u5b66\u6570\u5b66\u529b\u5b66\u7cfb\uff0c\u5e08\u4ece\u8c22\u5c14\u76d6\u00b7\u7d22\u4f2f\u5217\u592b\uff08Sergei L. Sobolev\uff0c1908-1989\uff09\u3002\u7d22\u4f2f\u5217\u592b\u662f\u6570\u5b66\u5206\u6790\u548c\u504f\u5fae\u5206\u65b9\u7a0b\u9886\u57df\u7684\u8457\u540d\u6570\u5b66\u5bb6\uff0c\u4ed6\u957f\u671f\u7ec4\u7ec7\u4e00\u4e2a\u6570\u5b66\u7269\u7406\u65b9\u7a0b\u8fb9\u503c\u95ee\u9898\u7684\u8ba8\u8bba\u73ed\u7cfb\u5217\uff0c\u8ba9\u5217\u5b81\u683c\u52d2\u5404\u4e2a\u9ad8\u6821\u504f\u5fae\u5206\u65b9\u7a0b\u7406\u8bba\u53ca\u5e94\u7528\u65b9\u5411\u7684\u5e08\u751f\u4eec\u7ecf\u5e38\u6709\u673a\u4f1a\u805a\u96c6\u5728\u4e00\u8d77\u7814\u8ba8\u6570\u5b66\u7269\u7406\u7684\u524d\u6cbf\u95ee\u9898\u3002\u5728\u90a3\u91cc\uff0c\u5965\u5c14\u52a0\u662f\u9aa8\u5e72\u6210\u5458\uff0c\u540e\u6765\u6210\u4e3a\u7ec4\u7ec7\u8005\u3002\u4e4b\u540e\uff0c\u5979\u4e00\u76f4\u575a\u6301\u7ec4\u7ec7\u8be5\u8ba8\u8bba\u73ed\u7cfb\u5217\u7684\u6d3b\u52a8\u76f4\u81f3\u53bb\u4e16\u4e3a\u6b62\u3002\u5728\u8bfb\u535a\u671f\u95f4\uff0c\u5979\u548c\u8457\u540d\u6570\u5b66\u5bb6\u5f17\u62c9\u57fa\u7c73\u5c14\u00b7\u65af\u7c73\u5c14\u8bfa\u592b\uff08Vladimir I. Smirnov\uff0c1887-1974\uff09\u5728\u6d41\u4f53\u52a8\u529b\u5b66\u7814\u7a76\u65b9\u9762\u5f00\u59cb\u5efa\u7acb\u5408\u4f5c\u3002<\/p>\n

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\u56fe3 \u5965\u5c14\u52a0\uff08\u9752\u5e74\u65f6\u671f\uff09<\/p>\n

1949\u5e74\uff0c\u5965\u5c14\u52a0\u5728\u5217\u5b81\u683c\u52d2\u56fd\u7acb\u5927\u5b66\u53d6\u5f97\u535a\u58eb\u5b66\u4f4d\uff0c\u5e76\u7559\u6821\u5728\u6570\u5b66\u7269\u7406\u5b66\u9662\u5f53\u8bb2\u5e08\u3002\u5728\u90a3\u91cc\uff0c\u59791954\u5e74\u6210\u4e3a\u526f\u6559\u6388\uff0c1956\u5e74\u5347\u4e3a\u6b63\u6559\u6388\u3002\u5728\u535a\u58eb\u6bd5\u4e1a\u8bba\u6587\u4e2d\uff0c\u5979\u53d1\u5c55\u4e86\u7ebf\u6027\u548c\u62df\u7ebf\u6027\u53cc\u66f2\u504f\u5fae\u5206\u65b9\u7a0b\u7ec4\u7684\u6709\u9650\u5dee\u5206\u7b97\u6cd5\uff0c\u5728\u7d22\u4f2f\u5217\u592b\u7a7a\u95f4\u7f51\u683c\u4e0a\u4f5c\u7c7b\u4f3c\u4e8eFourier\u7ea7\u6570\u7684\u5c55\u5f00\uff0c\u5e76\u901a\u8fc7\u5bf9\u903c\u8fd1\u8bef\u5dee\u7684\u4f30\u8ba1\u4e25\u683c\u8bc1\u660e\u4e86\u7b97\u6cd5\u5728\u7f51\u683c\u6b65\u957f\u8d8b\u4e8e\u96f6\u65f6\u7684\u6536\u655b\u6027\u3002\u540e\u6765\u77e5\u9053\uff0c\u51af\u00b7\u8bfa\u4f9d\u66fc\uff08John von Neumann\uff0c1903-1957\uff09\u5728\u7f8e\u56fdLos Alamos\u5b9e\u9a8c\u5ba4\u5dee\u4e0d\u591a\u540c\u65f6\u4e5f\u53d1\u5c55\u4e86\u7c7b\u4f3c\u7684\u7b97\u6cd5\u3002\u5965\u5c14\u52a0\u5728\u535a\u58eb\u8bba\u6587\u4e2d\u628a\u6709\u9650\u5dee\u5206\u6cd5\u63a8\u5e7f\u5230\u5176\u5b83\u4e0d\u540c\u7c7b\u578b\u7684\u504f\u5fae\u5206\u65b9\u7a0b\u7ec4\uff0c\u7ed9\u51fa\u4e86\u5305\u62ec\u65f6\u53d8\u7cfb\u6570\u60c5\u5f62\u7684\u7b97\u6cd5\u7a33\u5b9a\u6027\u6761\u4ef6\u548c\u8bc1\u660e\u3002\u5979\u8fd8\u5bf9\u5f7c\u5f97\u7f57\u592b\u65af\u57fa\u5173\u4e8e\u62df\u7ebf\u6027\u53cc\u66f2\u578b\u504f\u5fae\u5206\u65b9\u7a0b\u7ec4\u7684Cauchy\u95ee\u9898\u5c40\u90e8\u552f\u4e00\u89e3\u7684\u5b58\u5728\u6027\u8bc1\u660e\u505a\u4e86\u6709\u610f\u4e49\u7684\u7b80\u5316\u3002
\n\u535a\u58eb\u6bd5\u4e1a\u540e\uff0c\u5965\u5c14\u52a0\u7ee7\u7eed\u7814\u7a76\u4e8c\u9636\u7ebf\u6027\u53cc\u66f2\u578b\u504f\u5fae\u5206\u65b9\u7a0b\u7ec4\u521d\u8fb9\u503c\u95ee\u9898\u7684\u5dee\u5206\u7b97\u6cd5\u3002\u5979\u900f\u5f7b\u5730\u7814\u7a76\u4e86\u4e00\u822c\u5bf9\u79f0\u4e8c\u9636\u692d\u5706\u578b\u504f\u5fae\u5206\u65b9\u7a0b\uff0c\u5728\u7d22\u4f2f\u5217\u592b\u7a7a\u95f4\u7684\u6709\u754c\u57df\u4e0a\u4ee5\u7279\u5f81\u51fd\u6570\u4f5c\u7ea7\u6570\u5c55\u5f00\u6c42\u89e3\uff0c\u53d1\u5c55\u4e86\u6536\u655b\u7b97\u6cd5\uff0c\u5e76\u5bf9Dirichlet\u8fb9\u503c\u95ee\u9898\u4f5c\u4e86\u8bb8\u591a\u7814\u7a76\u3002<\/p>\n

\u6b64\u5916\uff0c\u5965\u5c14\u52a0\u8fd8\u7814\u7a76\u4e86\u5404\u79cd\u6bd4\u8f83\u5177\u4f53\u7684\u7ebf\u6027\u548c\u7ebf\u6027\u5316\u504f\u5fae\u5206\u65b9\u7a0b\u53ca\u65b9\u7a0b\u7ec4\uff0c\u5305\u62ec\u5f39\u6027\u529b\u5b66\u65b9\u7a0b\u3001\u859b\u5b9a\u8c14\uff08Schr\u00f6dinger\uff09\u65b9\u7a0b\u3001\u7ebf\u6027\u5316\u7eb3\u7ef4-\u65af\u6258\u514b\u65af\uff08Navier-Stokes\uff09\u65b9\u7a0b\u7ec4\u548c\u9ea6\u514b\u65af\u97e6\uff08Maxwell\uff09\u65b9\u7a0b\u7ec4\u3002\u5979\u5728\u7d22\u4f2f\u5217\u592b\u7a7a\u95f4\u4e2d\u6c42\u5404\u79cd\u504f\u5fae\u5206\u65b9\u7a0b\u521d\u8fb9\u503c\u95ee\u9898\u5f31\u89e3\u7684\u601d\u60f3\u3001\u7406\u8bba\u548c\u65b9\u6cd5\u5bf9\u540e\u6765\u6570\u5b66\u7269\u7406\u65b9\u7a0b\u7684\u6570\u503c\u7b97\u6cd5\u7814\u7a76\u4ea7\u751f\u4e86\u975e\u5e38\u6df1\u523b\u7684\u5f71\u54cd\u3002<\/p>\n

\u8fd9\u6bb5\u65f6\u95f4\u91cc\uff0c\u5965\u5c14\u52a0\u7684\u91cd\u8981\u8d21\u732e\u5305\u62ec\u51e0\u6761\u8457\u540d\u7684\u201c\u62c9\u5fb7\u4efb\u65af\u5361\u5a05\u4e0d\u7b49\u5f0f\u201d\uff1a<\/p>\n

<\/p>\n

\u5979\u8fd8\u8fdb\u4e00\u6b65\u7814\u7a76\u4e86\u4e8c\u9636\u62df\u7ebf\u6027\u692d\u5706\u578b\u548c\u629b\u7269\u578b\u504f\u5fae\u5206\u65b9\u7a0b\u4ee5\u53ca\u9ad8\u7ef4\u548c\u975e\u7ebf\u6027\u504f\u5fae\u5206\u65b9\u7a0b\u7ec4\u7684\u8bb8\u591a\u76f8\u5173\u95ee\u9898\uff0c\u7279\u522b\u662f\u89e3\u7684\u5b58\u5728\u552f\u4e00\u6027\u548c\u6b63\u5219\u6027\u95ee\u9898\u3002<\/p>\n

1953\u5e74\uff0c\u5965\u5c14\u52a0\u83b7\u5f97\u4e86\u7269\u7406\u4e0e\u6570\u5b66\u79d1\u5b66\u535a\u58eb\u5b66\u4f4d\uff08Doctor of Physicaland Mathematical Sciences\uff09\uff0c\u8bba\u6587\u662f\u5173\u4e8e\u4e00\u822c\u4e8c\u9636\u53cc\u66f2\u578b\u504f\u5fae\u5206\u65b9\u7a0b\u6df7\u5408\u8fb9\u503c\u95ee\u9898\u89e3\u7684\u6b63\u5219\u6027\u3002\u5979\u7ed9\u51fa\u4e86\u8fd9\u7c7b\u65b9\u7a0b\u7684\u89e3\u662f\u7ecf\u5178\u89e3\u7684\u4e25\u683c\u7cbe\u786e\u6761\u4ef6\uff0c\u5e76\u8bba\u8bc1\u4e86Fourier\u65b9\u6cd5\u7528\u4e8e\u53cc\u66f2\u578b\u65b9\u7a0b\u6c42\u89e3\u7684\u53ef\u884c\u6027\uff0c\u4ee5\u53caLaplace\u53d8\u6362\u65b9\u6cd5\u5728\u8fd9\u7c7b\u65b9\u7a0b\u4e2d\u7684\u5e94\u7528\u30021953\u5e74\uff0c\u5979\u7684\u4fc4\u6587\u4e13\u8457\u300a\u53cc\u66f2\u65b9\u7a0b\u7684\u6df7\u5408\u95ee\u9898\u300b\uff08The Mixed Problem fora Hyperbolic Equation\uff09\u603b\u7ed3\u4e86\u4e0a\u8ff0\u6210\u679c\u3002<\/p>\n

<\/p>\n

\u56fe4\u5965\u5c14\u52a0\uff08\u4e2d\u5e74\u65f6\u671f\uff09<\/p>\n

\u591a\u5e74\u4e4b\u540e\uff0c1964\u5e74\u5965\u5c14\u52a0\u548c\u5979\u7684\u5b66\u751f\u5c3c\u5a1c\u00b7\u4e4c\u62c9\u5c14\u8328\u74e6\uff08Nina N. Ural\u2019tseva\uff0c1934-2012\uff09\u51fa\u7248\u4e86\u4e00\u672c\u767e\u79d1\u5168\u4e66\u5f0f\u7684\u4e13\u8457\u300a\u7ebf\u6027\u548c\u62df\u7ebf\u6027\u692d\u5706\u578b\u65b9\u7a0b\u300b\uff08Linear and Quasilinear Equations of Elliptic Type\uff09\uff0c\u8be5\u4e66\u6db5\u76d6\u4e86\u9886\u57df\u5185\u7684\u5927\u90e8\u5206\u57fa\u672c\u6210\u679c\u3002\u5979\u4fe9\u53c8\u548c\u53e6\u4e00\u4e2a\u5b66\u751f\u5f17\u8c22\u6c83\u6d1b\u5fb7\u00b7\u7d22\u9686\u5c3c\u79d1\u592b\uff08Vsevolod AlekseevichSolonnikov\uff0c1933 – \uff09\u4e00\u8d77\uff0c\u51fa\u7248\u4e86\u4e13\u8457\u300a\u7ebf\u6027\u548c\u62df\u7ebf\u6027\u629b\u7269\u578b\u65b9\u7a0b\u300b\uff08Linear and Quasilinear Equations of Parabolic Type\uff09\u3002\u7f8e\u56fd\u8457\u540d\u6570\u5b66\u5bb6\u5f7c\u5f97\u00b7\u62c9\u514b\u65af\uff08Peter D. Lax\uff0c1926 – \uff09\u662f2005\u5e74\u963f\u8d1d\u5c14\u5956\uff08Abel Prize\uff09\u5f97\u4e3b\uff0c\u4ed6\u8bc4\u8bf4\u5965\u5c14\u52a0\u7684\u8fd9\u51e0\u672c\u4e66\u201c\u5305\u542b\u4e86\u8bb8\u591a\u5173\u4e8e\u692d\u5706\u578b\u548c\u629b\u7269\u578b\u65b9\u7a0b\u89e3\u7684\u4f30\u8ba1\u7684\u6df1\u523b\u7ed3\u679c\u3002\u4f5c\u8005\u4eec\u6781\u5927\u5730\u63a8\u5e7f\u4e86\u4f2f\u6069\u65bd\u5766\u7684\u601d\u60f3\u548c\u5fb7\u00b7\u4e54\u6cbb\u3001\u83ab\u6cfd\u53ca\u7eb3\u4ec0\u7684\u6280\u5de7\u3002\u8fd9\u4e9b\u4e66\u662f\u9886\u57df\u5185\u57fa\u672c\u77e5\u8bc6\u7684\u6e90\u6cc9\u201d\u3002<\/p>\n

<\/p>\n

\u56fe5 \u5965\u5c14\u52a0\u7684\u90e8\u5206\u8457\u4f5c<\/p>\n

\u4e8c<\/strong>\u3001<\/strong>\u7814\u7a76\u4e0e\u6210\u679c<\/strong><\/p>\n

\u5965\u5c14\u52a0\u4e00\u751f\u53d1\u8868\u4e86250 \u591a\u7bc7\u8bba\u6587\u548c7\u672c\u4e13\u8457\u3002<\/p>\n

\u5982\u4e0a\u6240\u8bf4\uff0c\u5979\u5173\u4e8e\u504f\u5fae\u5206\u65b9\u7a0b\u7406\u8bba\u7684\u7814\u7a76\u51e0\u4e4e\u662f\u5168\u65b9\u4f4d\u7684\u3002\u4f46\u5979\u6bd5\u751f\u7684\u631a\u7231\u662f\u6d41\u4f53\u52a8\u529b\u5b66\u4e2d\u7684\u504f\u5fae\u5206\u65b9\u7a0b\uff0c\u7279\u522b\u662f\u7eb3\u7ef4-\u65af\u6258\u514b\u65af\u65b9\u7a0b\u3002<\/p>\n

<\/p>\n

\u56fe6\u5965\u5c14\u52a0\uff08\u9752\u58ee\u5e74\u65f6\u671f\uff09<\/p>\n

\u7eb3\u7ef4<\/strong>–<\/strong>\u65af\u6258\u514b\u65af\u65b9\u7a0b<\/strong><\/p>\n

1757\u5e74\uff0c\u6b27\u62c9\uff08Leonhard Euler\uff0c1707-1783\uff09\u5728\u4ed6\u8457\u540d\u8bba\u6587\u201c\u6d41\u4f53\u8fd0\u52a8\u7684\u4e00\u822c\u539f\u7406\u201d\uff08Principes g\u00e9n\u00e9raux dumouvement des fluides\uff09\u4e2d\u5efa\u7acb\u4e86\u7b2c\u4e00\u4e2a\u65e0\u7c98\u6027\u4e0d\u53ef\u538b\u7f29\u6d41\u7684\u8fd0\u52a8\u504f\u5fae\u5206\u65b9\u7a0b\u30021821\u5e74\uff0c\u5de5\u7a0b\u5e08\u548c\u7269\u7406\u5b66\u5bb6\u514b\u52b3\u5fb7\u00b7\u7eb3\u7ef4\uff08Claude-Louis Navier\uff0c1785-1836\uff09\u6539\u8fdb\u4e86\u6b27\u62c9\u7684\u65b9\u7a0b\u800c\u5efa\u7acb\u4e86\u5e26\u6709\u4e00\u4e2a\u7c98\u6027\u5e38\u6570\u4e0d\u53ef\u538b\u7f29\u6d41\u7684\u65b9\u7a0b\u30021845\u5e74\uff0c\u6570\u5b66\u548c\u7269\u7406\u5b66\u5bb6\u4e54\u6cbb\u00b7\u65af\u6258\u514b\u65af\uff08Sir George Stokes\uff0c1819-1903\uff09\u4f5c\u4e86\u8fdb\u4e00\u6b65\u7684\u63a8\u5e7f\uff0c\u5efa\u7acb\u4e86\u5e26\u6709\u4e24\u4e2a\u7c98\u6027\u5e38\u6570\u4e0d\u53ef\u538b\u7f29\u6d41\u7684\u65b9\u7a0b\uff0c\u5373\u8457\u540d\u7684\u201c\u7eb3\u7ef4-\u65af\u6258\u514b\u65af\u65b9\u7a0b\u201d\u3002<\/p>\n

\u7eb3\u7ef4-\u65af\u6258\u514b\u65af\u65b9\u7a0b\u7684\u7814\u7a76\u65e8\u5728\u786e\u5b9a\u5176\u521d\u503c\u95ee\u9898\u662f\u5426\u5728\u6240\u6709\u65f6\u95f4\u533a\u95f4\u4e0a\u90fd\u5b58\u5728\u5149\u6ed1\u89e3\uff1b\u5982\u679c\u6ca1\u6709\u7684\u8bdd\uff0c\u5b83\u7684\u5e7f\u4e49\u89e3\u662f\u5426\u7531\u521d\u59cb\u6570\u636e\u552f\u4e00\u786e\u5b9a\uff1f\u5bf9\u4e8e\u4e09\u7ef4\u60c5\u5f62\uff0c\u8fd9\u662f\u4e00\u4e2a\u5f88\u56f0\u96be\u7684\u6570\u5b66\u95ee\u9898\u3002\u7eb3\u7ef4-\u65af\u6258\u514b\u65af\u65b9\u7a0b\u6709\u7269\u7406\u610f\u4e49\u7684\u89e3\u7684\u5b58\u5728\u6027\u662f\u7f8e\u56fd\u514b\u96f7\u6570\u5b66\u7814\u7a76\u6240\uff08Clay Mathematical Institute\uff09\u57282000\u5e745\u670824\u65e5\u516c\u5e03\u7684\u5343\u79a7\u5e74\u767e\u4e07\u7f8e\u5143\u5927\u5956\u4e2d\u4e03\u4e2a\u96be\u9898\u4e4b\u4e00\u3002<\/p>\n

<\/p>\n

\u7531\u4e8e1940-1950\u5e74\u4ee3\u82cf\u8054\u548c\u897f\u65b9\u4e16\u754c\u7684\u5272\u88c2\uff0c\u5965\u5c14\u52a0\u5e76\u4e0d\u4e86\u89e3\u6cd5\u56fd\u6570\u5b66\u5bb6\u8ba9\u00b7\u52d2\u96f7\uff08Jean Leray\uff0c1906-1998\uff09\u548c\u7f8e\u56fd\u6570\u5b66\u5bb6\u57c3\u4f2f\u54c8\u5fb7\u00b7\u970d\u666e\uff08Eberhard F. F. Hopf\uff0c1902-1983 \uff09\u5173\u4e8e\u7eb3\u7ef4-\u65af\u6258\u514b\u65af\u65b9\u7a0b\u7684\u91cd\u8981\u6210\u679c\u3002\u57281950\u5e74\u4ee3\u671f\u95f4\uff0c\u5965\u5c14\u52a0\u72ec\u7acb\u5730\u53d1\u8868\u4e86\u4e00\u7cfb\u5217\u5173\u4e8e\u65af\u6258\u514b\u65af\u65b9\u7a0b\u548c\u7eb3\u7ef4-\u65af\u6258\u514b\u65af\u65b9\u7a0b\u7684\u7814\u7a76\u7ed3\u679c\u30021958\u5e74\uff0c\u5979\u5728\u300a\u82cf\u8054\u79d1\u5b66\u9662\u5b66\u62a5\u300b\uff08Doklady Akademii Nauk SSSR\uff09\u4e0a\u53d1\u8868\u4e86\u4e00\u7bc7\u5341\u5206\u91cd\u8981\u7684\u8bba\u6587\uff0c\u8bc1\u660e\u4e86\u4e8c\u7ef4\u7eb3\u7ef4-\u65af\u6258\u514b\u65af\u65b9\u7a0b\u521d\u8fb9\u503c\u95ee\u9898\u7684\u5168\u5c40\u552f\u4e00\u53ef\u89e3\u6027\u3002\u800c\u76f8\u5e94\u7684Cauchy \u95ee\u9898\u5219\u662f\u7531\u52d2\u96f7\u89e3\u51b3\u7684\u3002\u540c\u65f6\uff0c\u5965\u5c14\u52a0\u8fd8\u7ed9\u51fa\u4e86\u7eb3\u7ef4-\u65af\u6258\u514b\u65af\u65b9\u7a0b\u7684\u6570\u503c\u89e3\u6cd5\u548c\u7b97\u6cd5\u6536\u655b\u6027\u8bc1\u660e\u3002<\/p>\n

\u5965\u5c14\u52a0\u7684\u5de5\u4f5c\u5728\u6d41\u4f53\u52a8\u529b\u5b66\u7684\u7814\u7a76\u9886\u57df\u91cc\u5f15\u51fa\u4e86\u8bb8\u591a\u6709\u610f\u4e49\u7684\u65b0\u8bfe\u9898\u3002\u8fd9\u4e9b\u4e3b\u8981\u6210\u679c\u90fd\u603b\u7ed3\u5728\u5979\u975e\u5e38\u6709\u5f71\u54cd\u7684\u4e13\u8457\u300a\u7c98\u6027\u4e0d\u53ef\u538b\u7f29\u6d41\u7684\u6570\u5b66\u7406\u8bba\u300b\uff08The Mathematical Theory of Viscous Incompressible Flow\uff09\u91cc\u3002\u8be5\u4e66\u540e\u6765\u6210\u4e3a\u9886\u57df\u5185\u7684\u7ecf\u5178\u3002<\/p>\n

\u81f3\u4e8e\u4e09\u7ef4\u7eb3\u7ef4-\u65af\u6258\u514b\u65af\u65b9\u7a0b\uff0c\u5982\u4e0a\u6240\u8bf4\uff0c\u5c5e\u4e8e\u5343\u79a7\u5e74\u96be\u9898\uff0c\u81f3\u4eca\u8fd8\u6ca1\u6709\u591a\u5c11\u7ed3\u679c\u3002\u5bf9\u6b64\u96be\u9898\uff0c\u5965\u5c14\u52a0\u57281967\u5e74\u8bc1\u660e\u4e86\u5b83\u5728\u52d2\u96f7-\u970d\u666e\u610f\u4e49\u4e0b\u7684\u5f31\u89e3\u662f\u5149\u6ed1\u7684\u3002\u5979\u8fd8\u5bf9\u4e09\u7ef4\u7eb3\u7ef4-\u65af\u6258\u514b\u65af\u65b9\u7a0b\u7684\u901f\u5ea6\u573a\u4f5c\u4e86\u4e9b\u4fee\u6539\uff0c\u5e76\u5bb9\u8bb8\u5b83\u5728\u4e00\u4e9b\u533a\u57df\u5185\u6709\u8f83\u5927\u7684\u6ce2\u52a8\u3002\u8fd9\u4e2a\u4fee\u6539\u540e\u7684\u65b9\u7a0b\u540e\u6765\u88ab\u79f0\u4f5c\u201c\u62c9\u5fb7\u4efb\u65af\u5361\u5a05\u65b9\u7a0b\u201d\u3002\u5bf9\u6b64\u65b9\u7a0b\uff0c\u5979\u8bc1\u660e\u4e86\u5168\u5c40\u552f\u4e00\u53ef\u89e3\u6027\u3002\u57281966\u5e74\u83ab\u65af\u79d1\u4e16\u754c\u6570\u5b66\u5bb6\u5927\u4f1a\u4e0a\uff0c\u5979\u5e94\u9080\u62a5\u544a\u4e86\u8fd9\u4e2a\u6f02\u4eae\u7684\u7ed3\u679c\u3002<\/p>\n

\u5965\u5c14\u52a0\u5728\u6d41\u4f53\u504f\u5fae\u5206\u65b9\u7a0b\u65b9\u9762\u7684\u7814\u7a76\u5de5\u4f5c\u4e3b\u8981\u53d7\u5230\u4fc4\u7f57\u65af\u6570\u5b66\u5bb6\u8c22\u5c14\u76d6\u00b7\u4f2f\u6069\u65bd\u5766\uff08Sergei N. Bernstein\uff0c1880-1968\uff09\u3001\u6cd5\u56fd\u6570\u5b66\u5bb6\u8ba9\u00b7\u52d2\u96f7\u548c\u6ce2\u5170\u6570\u5b66\u5bb6\u6731\u5229\u53f6\u65af\u00b7\u7ecd\u5fb7\u5c14\uff08Juliusz P. Schauder\uff0c1899-1943\uff09\u7684\u5f71\u54cd\u3002\u7531\u4e8e\u8fd9\u4e09\u4f4d\u6570\u5b66\u5bb6\u5bf9\u5e0c\u5c14\u4f2f\u7279\uff08David Hilbert\uff0c1862-1943\uff09\u7b2c19\u95ee\u9898\u5747\u6709\u4e0d\u540c\u7a0b\u5ea6\u7684\u8d21\u732e\uff0c\u4ed6\u4eec\u7684\u5de5\u4f5c\u4e5f\u628a\u5965\u5c14\u52a0\u4ece\u7ecf\u5178\u504f\u5fae\u5206\u65b9\u7a0b\u7684\u7814\u7a76\u5f15\u5bfc\u5230\u5e0c\u5c14\u4f2f\u7279\u7b2c19\u95ee\u9898\u4e2d\u53bb\u3002<\/p>\n

<\/p>\n

\u56fe7\u5965\u5c14\u52a0\uff08\u58ee\u5e74\u65f6\u671f\uff09<\/p>\n

\u5e0c\u5c14\u4f2f\u7279\u7b2c<\/strong>19<\/strong>\u95ee\u9898<\/strong><\/p>\n

\u5e0c\u5c14\u4f2f\u7279\u57281900\u5e74\u5df4\u9ece\u4e3e\u884c\u7684\u7b2c\u4e8c\u5c4a\u4e16\u754c\u6570\u5b66\u5bb6\u5927\u4f1a\u4e0a\u4f5c\u4e86\u9898\u4e3a\u201c\u6570\u5b66\u95ee\u9898\u201d\u7684\u6f14\u8bb2\uff0c\u63d0\u51fa\u4e8623\u4e2a\u6700\u91cd\u8981\u7684\u6570\u5b66\u95ee\u9898\uff0c\u5176\u4e2d\u7684\u7b2c19\u95ee\u9898\u662f\u4e00\u4e2a\u5173\u4e8e\u53d8\u5206\u6cd5\u6781\u503c\u7684\u672c\u8d28\u95ee\u9898\u3002\u5e0c\u5c14\u4f2f\u7279\u6ce8\u610f\u5230\u4e86 Laplace\u65b9\u7a0b\uff08\u4e5f\u53eb\u505a\u4f4d\u52bf\u65b9\u7a0b\u6216\u8c03\u548c\u65b9\u7a0b\uff09\u5177\u6709\u67d0\u79cd\u6b63\u5219\u6027\u4ece\u800c\u4fdd\u8bc1\u4e86\u89e3\u6790\u89e3\u7684\u5b58\u5728\u6027\u3002\u4ed6\u8fd8\u6ce8\u610f\u5230\u5176\u4ed6\u4e00\u4e9b\u504f\u5fae\u5206\u65b9\u7a0b\u4e5f\u6709\u67d0\u79cd\u6b63\u5219\u6027\u4ece\u800c\u90fd\u6709\u89e3\u6790\u89e3\u3002\u4ed6\u628a\u95ee\u9898\u63cf\u8ff0\u4e3a\u5177\u6709\u5982\u4e0b\u4e09\u4e2a\u7279\u5f81\u7684\u53d8\u5206\u6781\u503c\u95ee\u9898\uff1a<\/p>\n

<\/p>\n

1904\u5e74\uff0c\u4fc4\u7f57\u65af\u6570\u5b66\u5bb6\u4f2f\u6069\u65bd\u5766\u5728\u5df4\u9ece\u5927\u5b66\u7684\u535a\u58eb\u8bba\u6587\u4e2d\u8bc1\u660e\u4e86\uff0c\u5982\u679c\u4e0a\u8ff0\u95ee\u9898\u5728\u4e8c\u5143\u60c5\u51b5\u4e0b\u6709\u89e3\u7684\u8bdd\uff0c\u90a3\u4e48\u89e3\u5fc5\u5b9a\u662f\u4e2a\u5b9e\u89e3\u6790\u51fd\u6570\u3002\u8fd9\u4e2a\u7ed3\u679c\u8868\u660e\uff0c\u5173\u4e8e\u4e0a\u8ff0\u65b9\u7a0b\u6b63\u5219\u6027\u7684\u8981\u6c42\u5305\u62ec\u4e86\u5bf9 u\u7684\u89e3\u6790\u6027\u8981\u6c42\u548c\u5bf9\u7ef4\u6570\u7684\u67d0\u79cd\u7ea6\u675f\u3002\u968f\u540e\uff0c\u8bb8\u591a\u6570\u5b66\u5bb6\u5148\u540e\u4f5c\u4e86\u4e0d\u5c11\u52aa\u529b\u5e76\u5bf9\u4e00\u4e9b\u76f8\u5173\u95ee\u9898\u53d6\u5f97\u4e86\u4e0d\u5c11\u6210\u679c\uff0c\u5982\u653e\u5bbd\u67d0\u4e9b\u6761\u4ef6\u6216\u5728\u4e8c\u7ef4\u60c5\u5f62\u4e0b\u5f97\u5230\u8f83\u4e3a\u5b8c\u6574\u7684\u89e3\u7b54\u3002<\/p>\n

\u6700\u5b8c\u6574\u7684\u7ed3\u679c\u516c\u8ba4\u4e3a\u662f\u7531\u610f\u5927\u5229\u6570\u5b66\u5bb6\u6069\u5c3c\u5965\u00b7\u5fb7\u00b7\u4e54\u6cbb\uff08Ennio De Giorgi\uff0c1928-1996\uff09\u548c\u7f8e\u56fd\u6570\u5b66\u5bb6\u7ea6\u7ff0\u00b7\u7eb3\u4ec0\uff08John F. Nash Jr.\uff0c1928-2015\uff09\u5bf9\u4e09\u7ef4\u60c5\u5f62\u505a\u51fa\u7684\u3002\u5fb7\u00b7\u4e54\u6cbb\u8bc1\u660e\u4e86\u5177\u6709\u6563\u5ea6\u5f62\u5f0f\u5e76\u5e26\u53ef\u6d4b\u7cfb\u6570\u7684\u4e00\u81f4\u692d\u5706\u4e8c\u9636\u65b9\u7a0b\u7684\u5f31\u89e3\u662f H\u00f6lder \u8fde\u7eed\u7684\uff0c\u4ece\u800c\u63a8\u51fa\u4e86\u5173\u4e8e\u7b2c19\u95ee\u9898\u6b63\u5219\u6027\u7684\u89e3\u7b54\u3002\u4ed6\u7684\u8bc1\u660e\u5728 1956-1957 \u5e74\u95f4\u4e0e\u7eb3\u4ec0\u662f\u540c\u65f6\u4f46\u72ec\u7acb\u5b8c\u6210\u7684\u3002\u5fb7\u00b7\u4e54\u6cbb\u76f4\u63a5\u7814\u7a76\u504f\u5fae\u5206\u65b9\u7a0b\u672c\u8eab\uff0c\u800c\u7eb3\u4ec0\u7814\u7a76\u76f8\u5e94\u7684\u70ed\u4f20\u5bfc\u65b9\u7a0b\u5e76\u5f97\u5230H\u00f6lder\u4f30\u8ba1\uff0c\u5373\u8bc1\u660e\u4e86\u5f31\u89e3\u7684H\u00f6lder\u8fde\u7eed\u6027\u3002\u7531\u4e8e\u692d\u5706\u65b9\u7a0b\u53ef\u4ee5\u7406\u89e3\u4e3a\u4e0d\u4f9d\u8d56\u65f6\u95f4\u7684\u70ed\u65b9\u7a0b\uff0c\u7531\u6b64\u53ef\u63a8\u51fa\u539f\u53d8\u5206\u95ee\u9898\u7684\u6b63\u5219\u6027\uff0c\u5373\u4e5f\u7ed9\u51fa\u4e86\u7b2c19\u95ee\u9898\u7684\u89e3\u7b54\u3002\u7a0d\u540e\uff0c\u7f8e\u7c4d\u5fb7\u56fd\u6570\u5b66\u5bb6\u4e8e\u5c14\u6839\u00b7\u83ab\u6cfd\uff08J\u00fcrgen K. Moser\uff0c1928-1999\uff09\u7ed9\u51fa\u4e86\u4e00\u4e2a\u4e0d\u540c\u7684\u8bc1\u660e\u3002\u4e8e\u662f\u6709\u4e86\u4e00\u6761\u8457\u540d\u7684De Giorgi-Nash-Moser \u5b9a\u7406\u3002\u4ed6\u4eec\u7684\u7ed3\u679c\u8868\u660e\uff0c\u6563\u5ea6\u578b\u692d\u5706\u65b9\u7a0b\u4ee5\u53ca\u534a\u7ebf\u6027\u692d\u5706\u65b9\u7a0b\u548cLaplace\u65b9\u7a0b\u4e00\u6837\uff0c\u90fd\u5177\u6709\u6b63\u5219\u6027\u3002\u81f3\u6b64\uff0c\u5e0c\u5c14\u4f2f\u7279\u7b2c19\u95ee\u9898\u88ab\u8ba4\u4e3a\u662f\u5b8c\u5168\u89e3\u51b3\u4e86\u3002<\/p>\n

\u63a5\u4e0b\u6765\uff0c\u4e0d\u5c11\u6570\u5b66\u5bb6\u8fd8\u81f4\u529b\u4e8e\u4e00\u4e9b\u63a8\u5e7f\u6027\u7814\u7a76\u3002\u5965\u5c14\u52a0\u5219\u53d1\u5c55\u4e86\u5fb7\u00b7\u4e54\u6cbb\u548c\u7eb3\u4ec0\u7684\u7406\u8bba\uff0c\u548c\u5408\u4f5c\u8005\u4e00\u8d77\u57281960\u5e74\u4ee3\u5b8c\u6574\u5730\u89e3\u51b3\u4e86\u4e00\u5927\u7c7b\u692d\u5706\u578b\u53ca\u629b\u7269\u578b\u504f\u5fae\u5206\u65b9\u7a0b\u7684\u5e0c\u5c14\u4f2f\u7279\u7b2c19\u95ee\u9898\u3002<\/p>\n

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<\/p>\n

\u56fe8\u5965\u5c14\u52a0\uff08\u8001\u5e74\u65f6\u671f\uff09<\/p>\n

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<\/p>\n

\u56fe9\u5965\u5c14\u52a0\uff0879\u5c81\uff0c\u5723\u5f7c\u5f97\u5821\u5bb6\u4e2d\uff09<\/p>\n

\u4e09<\/strong>\u3001<\/strong>\u5956\u52b1\u4e0e\u8363\u8a89<\/strong><\/p>\n

\u5965\u5c14\u52a0\u7684\u5b66\u672f\u751f\u6daf\uff0c\u4ece1954\u5e74\u8d77\u6210\u4e3a\u4fc4\u7f57\u65af\u79d1\u5b66\u9662Steklov\u6570\u5b66\u7814\u7a76\u6240\uff08LOMI\uff09\u7684\u6838\u5fc3\u6210\u5458\uff0c\u52301961\u5e74\u88ab\u9009\u4e3a\u6240\u957f\u30021959-1965\u5e74\u4ee5\u53ca1970-1990\u5e74\uff0c\u5979\u88ab\u9009\u4e3a\u5217\u5b81\u683c\u52d2\u6570\u5b66\u4f1a\u526f\u4e3b\u5e2d\uff0c1990-1998\u51fa\u4efb\u4e3b\u5e2d\uff0c\u6210\u4e3a\u6b27\u62c9\u591a\u5e74\u540e\u7684\u4e00\u4f4d\u5973\u7ee7\u627f\u8005\u3002\u5728\u90a3\u91cc\uff0c\u5979\u6570\u5341\u5e74\u5982\u4e00\u65e5\u5730\u7ec4\u7ec7\u504f\u5fae\u5206\u65b9\u7a0b\u8ba8\u8bba\u73ed\uff0c\u4e0d\u65ad\u5730\u8ddf\u8e2a\u56fd\u9645\u6570\u5b66\u7814\u7a76\u7684\u8fdb\u5c55\u3002\u5f53\u5e74\uff0c\u5979\u7684\u8ba8\u8bba\u73ed\u7cfb\u5217\u5728\u82cf\u8054\u5f88\u6709\u540d\u6c14\uff0c\u5bf9\u5fae\u5206\u65b9\u7a0b\u7684\u7814\u7a76\u548c\u53d1\u5c55\u4ea7\u751f\u8fc7\u975e\u5e38\u91cd\u5927\u7684\u5f71\u54cd\u3002<\/p>\n

1958\u5e74\uff0c\u5965\u5c14\u52a0\u88ab\u63d0\u540d\u83f2\u5c14\u5179\u5956\uff08Fields Medal\uff09\u5e76\u6210\u4e3a\u5019\u9009\u4eba\u4e4b\u4e00\uff0c\u53ef\u60dc\u6ca1\u6709\u6210\u529f\u3002<\/p>\n

1959\u5e74\uff0c\u5979\u8363\u83b7\u5217\u5b81\u683c\u52d2\u56fd\u7acb\u5927\u5b66\u79d1\u5b66\u4e00\u7b49\u5956\u3002<\/p>\n

1969\u5e74\uff0c\u5979\u8363\u83b7\u4fc4\u7f57\u65af\u79d1\u5b66\u9662\u5e15\u592b\u52aa\u8482\u00b7\u5207\u6bd4\u96ea\u592b\u5956\uff08Pafnuty L. Chebyshev Prize\uff09\u5e76\u8363\u81ba\u56fd\u5bb6\u52cb\u7ae0\u3002<\/p>\n

1981\u5e74\uff0c\u5979\u88ab\u9009\u4e3a\u4fc4\u7f57\u65af\u79d1\u5b66\u9662\u51c6\u9662\u58eb\uff08Corresponding Member\uff09\u3002<\/p>\n

1985\u5e74\uff0c\u5979\u83b7\u9009\u4e3a\u5fb7\u56fd\u5229\u5965\u6ce2\u7b2c\u90a3\u79d1\u5b66\u9662\uff08Deutsche Akademie Leopoldina\uff09\u5916\u7c4d\u9662\u58eb\u3002\u5229\u5965\u6ce2\u7b2c\u90a3\u79d1\u5b66\u9662\u6210\u7acb\u4e8e1652\u5e74\uff0c\u5176\u540e\u4e09\u767e\u591a\u5e74\u5fb7\u56fd\u90fd\u6ca1\u6709\u5168\u56fd\u6027\u7684\u79d1\u5b66\u9662\u3002\u52302007\u5e7411\u6708\uff0c\u5229\u5965\u6ce2\u7b2c\u90a3\u79d1\u5b66\u9662\u624d\u88ab\u5347\u683c\u4e3a\u5fb7\u56fd\u56fd\u5bb6\u7ea7\u7684\u79d1\u5b66\u9662\u3002<\/p>\n

1989\u5e74\uff0c\u5979\u83b7\u9009\u4e3a\u610f\u5927\u5229\u56fd\u5bb6\u79d1\u5b66\u9662\uff08Accademia Nazionaledei Lincei\uff09\u5916\u7c4d\u9662\u58eb\u3002\u8fd9\u662f\u4e00\u4e2a1603\u5e74\u6210\u7acb\u7684\u56fd\u5bb6\u7ea7\u7684\u79d1\u5b66\u9662\u548c\u79d1\u6280\u7814\u7a76\u673a\u6784\u3002<\/p>\n

1990\u5e74\uff0c\u5965\u5c14\u52a0\u664b\u5347\u4e3a\u4fc4\u7f57\u65af\u79d1\u5b66\u9662\u9662\u58eb\uff08Full Member\uff09\u3002<\/p>\n

1992\u5e74\uff0c\u5979\u8363\u83b7\u5fb7\u56fd\u6d2a\u5821\u57fa\u91d1\u4f1a\u9881\u53d1\u7684\u7d22\u83f2\u4e9a\u00b7\u67ef\u74e6\u5217\u592b\u65af\u5361\u5a05\u5956\uff08Sofia V. Kovalevskaya Prize\uff09\u3002<\/p>\n

1994\u5e74\uff0c\u5979\u5e94\u9080\u5728\u56fd\u9645\u6570\u5b66\u8054\u76df\u505a\u4e86\u8457\u540d\u7684Noether Lecture \u6f14\u8bb2\u3002<\/p>\n

1998\u5e74\uff0c\u5979\u5e94\u9080\u5728 SIAM\u5e74\u4f1a\u4e0a\u505a\u4e86\u8457\u540d\u7684 Johnvon Neumann Lecture \u6f14\u8bb2\u3002<\/p>\n

2001\u5e74\uff0c\u5979\u88ab\u9074\u9009\u4e3a\u7f8e\u56fd\u827a\u672f\u4e0e\u79d1\u5b66\u9662\u5916\u7c4d\u9662\u58eb\u3002<\/p>\n

2002\u5e74\uff0c\u5979\u8363\u83b7\u4fc4\u7f57\u65af\u79d1\u5b66\u9662\u7684\u7c73\u54c8\u4f0a\u5c14\u00b7\u7f57\u8499\u8bfa\u7d22\u592b\u91d1\u8d28\u5956\u7ae0\uff08Great Gold Lomonosov Medal\uff09\u3002<\/p>\n

2002\u5e74\uff0c\u5979\u83b7\u5fb7\u56fd\u6ce2\u6069\u5927\u5b66\u6388\u4e88\u8363\u8a89\u535a\u58eb\u5b66\u4f4d\u3002<\/p>\n

2003\u5e74\uff0c\u5979\u8363\u83b7\u4fc4\u7f57\u65af\u79d1\u5b66\u9662\u7684\u4e9a\u4f2f\u5170\u00b7\u7ea6\u592b\u7269\u7406\u79d1\u5b66\u5956\u7ae0\uff08Abram F. Ioffe Medal\uff09\u548c\u5723\u5f7c\u5f97\u5821\u56fd\u7acb\u5927\u5b66\u52cb\u7ae0\u3002<\/p>\n

<\/p>\n

\u56fe10 \u5965\u5c14\u52a0\uff08\u665a\u5e74\u65f6\u671f\uff09<\/p>\n

\u56db<\/strong>\u3001<\/strong>\u665a\u5e74\u4e0e\u7ed3\u5c40<\/strong><\/p>\n

\u5965\u5c14\u52a0\u5e74\u8f7b\u65f6\u5c31\u7acb\u5fd7\u628a\u81ea\u5df1\u7684\u4e00\u751f\u5949\u732e\u7ed9\u6570\u5b66\u3002\u4e3a\u6b64\uff0c\u5979\u8fd8\u51b3\u5b9a\u4e0d\u751f\u5c0f\u5b69\u3002\u4e3a\u4e86\u8fd9\u4ef6\u4e8b\uff0c\u5979\u548c\u4e08\u592b\u957f\u65f6\u95f4\u91cc\u610f\u89c1\u4e0d\u80fd\u7edf\u4e00\u3002\u7ed3\u679c\u4e24\u4eba\u6ca1\u6709\u7559\u4e0b\u540e\u4ee3\uff0c\u800c\u4e14\u5965\u5c14\u52a0\u81ea\u5df1\u4e00\u4e2a\u4eba\u8fc7\u5b8c\u4e86\u540e\u534a\u751f\u3002\u4e0d\u8fc7\u5965\u5c14\u52a0\u5b8c\u5168\u4e0d\u662f\u4e00\u4e2a\u65e0\u60c5\u65e0\u4e49\u7684\u5de5\u4f5c\u72c2\u3002\u5979\u4e00\u751f\u70ed\u7231\u827a\u672f\uff0c\u559c\u6b22\u8bb2\u6545\u4e8b\uff0c\u8fd8\u7ecf\u5e38\u53c2\u52a0\u793e\u4f1a\u6148\u5584\u670d\u52a1\u5de5\u4f5c\u3002\u5979\u6df1\u5f97\u670b\u53cb\u548c\u540c\u4e8b\u4eec\u7684\u5c0a\u91cd\u548c\u7231\u6234\u3002<\/p>\n

\u7531\u4e8e\u7236\u4eb2\u5386\u53f2\u95ee\u9898\u7684\u7f18\u6545\uff0c\u5965\u5c14\u52a0\u672c\u4eba\u52301988\u5e7466\u5c81\u4e4b\u540e\u624d\u88ab\u5141\u8bb8\u51fa\u56fd\u53c2\u52a0\u5b66\u672f\u4f1a\u8bae\u3002\u8fd9\u4e9b\u75db\u82e6\u7684\u7ecf\u5386\u81ea\u7136\u5f71\u54cd\u5230\u5979\u7684\u653f\u6cbb\u89c2\u70b9\u3002\u5979\u660e\u786e\u5730\u652f\u6301\u5f53\u5e74\u7684\u4e00\u4e9b\u653f\u6cbb\u5f02\u89c1\u4eba\u58eb\uff0c\u5305\u62ec\u8457\u540d\u4f5c\u5bb6\u3001\u8bfa\u8d1d\u5c14\u6587\u5b66\u5956\u83b7\u5f97\u8005\u3001\u4fc4\u7f57\u65af\u79d1\u5b66\u9662\u9662\u58eb\u4e9a\u5386\u5c71\u5927\u00b7\u7d22\u5c14\u4ec1\u5c3c\u7434\uff08Aleksandr Solzhenitsyn\uff0c1918-2008\uff09\u548c\u8457\u540d\u5973\u8bd7\u4eba\u3001\u725b\u6d25\u5927\u5b66\u540d\u8a89\u6587\u5b66\u535a\u58eb\u5b89\u5a1c\u00b7\u6208\u8fde\u79d1\uff08Anna A. Gorenko\uff0c1889-1966\uff1b\u7b14\u540d\u5b89\u5a1c\u00b7\u963f\u8d6b\u739b\u6258\u5a03\uff0cAnna Akhmatova\uff09\u3002<\/p>\n

\u5965\u5c14\u52a0\u665a\u5e74\u906d\u53d7\u4e25\u91cd\u773c\u75be\u7684\u56f0\u6270\uff0c\u9700\u8981\u7528\u7279\u5236\u5e26\u5149\u7684\u94c5\u7b14\u624d\u80fd\u770b\u6e05\u695a\u81ea\u5df1\u5199\u7684\u5b57\u30022004\u5e74\u521d\uff0c\u5979\u8ba1\u5212\u53bb\u7f8e\u56fd\u4f5b\u7f57\u91cc\u8fbe\u5dde\u53c2\u52a0\u4e00\u4e2a\u5b66\u672f\u4f1a\u8bae\uff0c\u4e3a\u4e4b\u5f00\u59cb\u51c6\u5907\u4e00\u7bc7\u6c34\u529b\u5b66\u5206\u6790\u7684\u8bba\u6587\u3002\u53ef\u662f\u5c31\u5728\u542f\u7a0b\u524d\u4e24\u5929\u76841\u670812\u65e5\uff0c\u5979\u4e0d\u77e5\u4e0d\u89c9\u5730\u5728\u7761\u68a6\u4e2d\u5b89\u7136\u8f9e\u4e16\uff0c\u4eab\u5e7482\u5c81\u3002<\/p>\n

\u5965\u5c14\u52a0\u7684\u540d\u5b57\u88ab\u94ed\u523b\u5728\u6ce2\u58eb\u987f\u79d1\u5b66\u535a\u7269\u9986\u5185\u201c20\u4e16\u7eaa\u6700\u6709\u5f71\u54cd\u7684\u6570\u5b66\u5bb6\u201d\u7684\u4e00\u5757\u5927\u7406\u77f3\u677f\u4e0a\u3002<\/p>\n

2022\u5e747\u67086\u201314\u65e5\uff0c\u4e16\u754c\u6570\u5b66\u5bb6\u5927\u4f1a\u5c06\u5728\u4fc4\u7f57\u65af\u5723\u5f7c\u5f97\u5821\u53ec\u5f00\uff0c\u5176\u4e2d\u4e3e\u529e\u7eaa\u5ff5\u5965\u5c14\u52a0100\u5468\u5e74\u8bde\u8fb0\u7684\u5b66\u672f\u6d3b\u52a8\u3002\u4e3a\u6b64\uff0c\u5927\u4f1a\u7684\u7ec4\u7ec7\u59d4\u5458\u4f1a\u548c\u4fc4\u7f57\u65af\u56fd\u5bb6\u6570\u5b66\u4f1a\u4ee5\u53ca\u5723\u5f7c\u5f97\u5821\u56fd\u7acb\u5927\u5b66\u8fd8\u8054\u5408\u9881\u53d1\u4e00\u4e2a\u65b0\u7684\u5956\u9879\uff1a\u201c\u5965\u5c14\u52a0\u00b7\u62c9\u5fb7\u4efb\u65af\u5361\u5a05\u5956\u7ae0\u201d\uff08Olga A. Ladyzhenskaya Medal\uff09\uff0c\u5956\u91d1\u4e3a\u4e00\u767e\u4e07\u5362\u5e03\u3002\u4e4b\u540e\uff0c\u8be5\u5956\u9879\u5728\u6bcf\u5c4a\u4e16\u754c\u6570\u5b66\u5bb6\u5927\u4f1a\u4e0a\u9686\u91cd\u9881\u53d1\uff0c\u5956\u52b1\u6570\u5b66\u7269\u7406\u9886\u57df\uff08\u5305\u62ec\u91cf\u5b50\u573a\u8bba\u548c\u7edf\u8ba1\u7269\u7406\uff09\u4e2d\u6709\u6770\u51fa\u8d21\u732e\u7684\u6570\u5b66\u5bb6\u548c\u7269\u7406\u5b66\u5bb6\u3002<\/p>\n

<\/p>\n

\u56fe11\u201c\u5965\u5c14\u52a0\u00b7\u62c9\u5fb7\u4efb\u65af\u5361\u5a05\u5956\u7ae0\u201d\u76d2\uff082022\uff09<\/p>\n","protected":false},"excerpt":{"rendered":"

\u4f5c\u8005: \u9648\u5173\u8363 2022\u5e747\u67086\u201314\u65e5\uff0c\u4e16\u754c\u6570\u5b66\u5bb6\u5927\u4f1a\u5c06\u5728\u4fc4\u7f57\u65af\u5723\u5f7c\u5f97\u5821\u53ec\u5f00\uff0c\u5c4a\u65f6\u6709\u4e00\u6b21\u9686\u91cd\u7684\u5b66\u672f\u6d3b\u52a8\u4ee5\u7eaa\u5ff5 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[5],"tags":[19192,1377,19193,18071],"views":85,"_links":{"self":[{"href":"https:\/\/www.danran1967.com\/index.php?rest_route=\/wp\/v2\/posts\/65795"}],"collection":[{"href":"https:\/\/www.danran1967.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.danran1967.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.danran1967.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.danran1967.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=65795"}],"version-history":[{"count":3,"href":"https:\/\/www.danran1967.com\/index.php?rest_route=\/wp\/v2\/posts\/65795\/revisions"}],"predecessor-version":[{"id":65798,"href":"https:\/\/www.danran1967.com\/index.php?rest_route=\/wp\/v2\/posts\/65795\/revisions\/65798"}],"wp:attachment":[{"href":"https:\/\/www.danran1967.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=65795"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.danran1967.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=65795"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.danran1967.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=65795"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}