{"id":589,"date":"2026-09-09T14:00:18","date_gmt":"2026-09-09T14:00:18","guid":{"rendered":"https:\/\/sungroupvinhhung.info.vn\/?p=589"},"modified":"2026-09-09T14:00:18","modified_gmt":"2026-09-09T14:00:18","slug":"tranh-cai-quanh-tuyen-bo-dung-ai-giai-bai-toan-thien-nien-ky-navier-stokes","status":"publish","type":"post","link":"https:\/\/sungroupvinhhung.info.vn\/index.php\/2026\/09\/09\/tranh-cai-quanh-tuyen-bo-dung-ai-giai-bai-toan-thien-nien-ky-navier-stokes\/","title":{"rendered":"Tranh c\u00e3i quanh tuy\u00ean b\u1ed1 d\u00f9ng AI gi\u1ea3i b\u00e0i to\u00e1n Thi\u00ean ni\u00ean k\u1ef7 Navier-Stokes tr\u1ecb gi\u00e1 1 tri\u1ec7u USD"},"content":{"rendered":"

AI gi\u1ea3i b\u00e0i to\u00e1n Thi\u00ean ni\u00ean k\u1ef7 1 tri\u1ec7u USD <\/p>\n

OpenAI tuy\u00ean b\u1ed1 c\u00e1c t\u00e1c nh\u00e2n AI \u0111\u00e3 t\u00ecm ra l\u1eddi gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh Navier-Stokes, thu\u1ed9c di\u1ec7n kh\u00f3 v\u00e0 dai d\u1eb3ng nh\u1ea5t trong to\u00e1n h\u1ecdc, song v\u01b0\u1edbng tranh c\u00e3i v\u1ec1 ngu\u1ed3n g\u1ed1c l\u1eddi gi\u1ea3i.<\/p>\n

Ng\u00e0y 8\/9, nh\u00f3m nh\u00e0 to\u00e1n h\u1ecdc t\u1ea1i OpenAI th\u00f4ng b\u00e1o c\u00e1c t\u00e1c nh\u00e2n AI (AI agent) t\u1ef1 h\u00e0nh c\u1ee7a h\u1ecd \u0111\u00e3 t\u00ecm ra m\u1ed9t gi\u1ea3i ph\u00e1p cho v\u1ea5n \u0111\u1ec1 t\u1ed3n t\u1ea1i v\u00e0 t\u00ednh tr\u01a1n tru c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh Navier-Stokes.<\/p>\n

\u0110\u00e2y m\u1ed9t trong 7 b\u00e0i to\u00e1n Thi\u00ean ni\u00ean k\u1ef7 (Millennium Prize Problems) do Vi\u1ec7n To\u00e1n h\u1ecdc Clay \u0111\u1ec1 ra t\u1eeb n\u0103m 2000, v\u1edbi m\u1ee9c th\u01b0\u1edfng m\u1ed9t tri\u1ec7u USD m\u1ed7i b\u00e0i.<\/p>\n

N\u1ebfu ti\u1ebfp t\u1ee5c v\u01b0\u1ee3t qua c\u00e1c \u0111\u1ee3t th\u1ea9m \u0111\u1ecbnh \u0111\u1ed9c l\u1eadp, \u0111\u00e2y s\u1ebd l\u00e0 ch\u1ee9ng minh to\u00e1n h\u1ecdc quan tr\u1ecdng nh\u1ea5t do m\u1ed9t m\u00f4 h\u00ecnh AI th\u1ef1c hi\u1ec7n t\u1eeb tr\u01b0\u1edbc \u0111\u1ebfn nay, \u0111\u00e1nh d\u1ea5u b\u01b0\u1edbc ngo\u1eb7t c\u0103n b\u1ea3n trong c\u00e1ch con ng\u01b0\u1eddi ti\u1ebfp c\u1eadn v\u00e0 gi\u1ea3i quy\u1ebft c\u00e1c b\u00e0i to\u00e1n h\u00f3c b\u00faa, theo Quanta Magazine<\/em>.<\/p>\n

“\u0110\u00e2y l\u00e0 m\u1ed9t ng\u00e0y \u0111\u1ea7y h\u1ee9ng kh\u1edfi, khi ch\u00fang ta ch\u1ee9ng ki\u1ebfn nh\u1eefng b\u01b0\u1edbc ti\u1ebfn l\u1edbn trong s\u1ef1 hi\u1ec3u bi\u1ebft c\u1ee7a con ng\u01b0\u1eddi v\u1ec1 to\u00e1n h\u1ecdc”, \u00f4ng Martin Bridson, Ch\u1ee7 t\u1ecbch Vi\u1ec7n To\u00e1n h\u1ecdc Clay, n\u00f3i tr\u00ean Nature<\/em>.<\/p>\n

Theo New Scientist<\/em>, h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh Navier-Stokes m\u00f4 t\u1ea3 c\u00e1ch ch\u1ea5t l\u01b0u di chuy\u1ec3n trong kh\u00f4ng gian, nh\u01b0 d\u00f2ng kh\u00f4ng kh\u00ed \u0111i qua c\u00e1nh m\u00e1y bay hay n\u01b0\u1edbc ch\u1ea3y ra t\u1eeb v\u00f2i. C\u00e2u h\u1ecfi m\u00e0 Vi\u1ec7n To\u00e1n h\u1ecdc Clay \u0111\u1eb7t ra l\u00e0 li\u1ec7u ph\u01b0\u01a1ng tr\u00ecnh lu\u00f4n ho\u1ea1t \u0111\u1ed9ng tr\u01a1n tru, hay c\u00f3 nh\u1eefng tr\u01b0\u1eddng h\u1ee3p m\u00e0 ch\u00fang m\u1ea5t ki\u1ec3m so\u00e1t v\u00e0 t\u1ea1o ra k\u1ebft qu\u1ea3 v\u00f4 ngh\u0129a, hay c\u00f2n g\u1ecdi l\u00e0 “s\u1ef1 b\u00f9ng n\u1ed5” (blow-ups).<\/p>\n

B\u00e0i to\u00e1n n\u00e0y li\u00ean quan ph\u01b0\u01a1ng tr\u00ecnh vi ph\u00e2n, ph\u01b0\u01a1ng ph\u00e1p bi\u1ec3u di\u1ec5n m\u1ed1i quan h\u1ec7 gi\u1eefa c\u00e1c \u0111\u1ea1i l\u01b0\u1ee3ng bi\u1ebfn thi\u00ean. Theo quy lu\u1eadt chung, c\u00e1c ph\u01b0\u01a1ng tr\u00ecnh n\u00e0y r\u1ea5t d\u1ec5 vi\u1ebft ra nh\u01b0ng l\u1ea1i c\u1ef1c k\u1ef3 kh\u00f3 t\u00ecm ra nghi\u1ec7m.<\/p>\n

“B\u00e0i to\u00e1n n\u00e0y b\u1ebf t\u1eafc su\u1ed1t 200 n\u0103m qua v\u00ec ph\u01b0\u01a1ng tr\u00ecnh Navier-Stokes qu\u00e1 ph\u1ee9c t\u1ea1p. C\u00e1c ph\u00e9p t\u00ednh b\u1eb1ng gi\u1ea5y v\u00e0 b\u00fat \u0111\u1ec3 gi\u1ea3i n\u00f3 r\u1eafc r\u1ed1i \u0111\u1ebfn m\u1ee9c kh\u00f4ng t\u01b0\u1edfng”, Venkat Chandrasekaran, nh\u00e0 nghi\u00ean c\u1ee9u t\u1ea1i OpenAI, chia s\u1ebb trong h\u1ecdp b\u00e1o.<\/p>\n

D\u00f9 l\u1eddi gi\u1ea3i cho b\u00e0i to\u00e1n Navier-Stokes l\u00e0 th\u00e0nh qu\u1ea3 \u0111\u01b0\u1ee3c ch\u1edd \u0111\u1ee3i t\u1eeb l\u00e2u, tuy\u00ean b\u1ed1 c\u1ee7a OpenAI nhanh ch\u00f3ng v\u01b0\u1edbng l\u00f9m x\u00f9m, theo The Guardian<\/em>. Nh\u00e0 to\u00e1n h\u1ecdc Tristan Buckmaster t\u1ea1i \u0110\u1ea1i h\u1ecdc New York cho hay \u00f4ng c\u00f9ng m\u1ed9t nh\u00e0 nghi\u00ean c\u1ee9u kh\u00e1c t\u1ea1i Anthopic (\u0111\u1ed1i th\u1ee7 c\u1ee7a OpenAI) v\u1ed1n s\u1eafp c\u00f4ng b\u1ed1 b\u01b0\u1edbc \u0111\u1ed9t ph\u00e1 ri\u00eang li\u00ean quan b\u00e0i to\u00e1n n\u00e0y. Sau khi hay tin, OpenAI \u0111\u00e3 \u0111\u1ea9y nhanh ti\u1ebfn \u0111\u1ed9 gi\u1ea3i b\u00e0i to\u00e1n.<\/p>\n

Buckmaster c\u00f2n lo ng\u1ea1i r\u1eb1ng c\u00f4ng tr\u00ecnh \u0111ang trong qu\u00e1 tr\u00ecnh ho\u00e0n thi\u1ec7n c\u1ee7a c\u1ea3 hai \u0111\u01b0\u1ee3c l\u01b0u tr\u1eef trong m\u00f4 h\u00ecnh Codex c\u1ee7a OpenAI, v\u1ed1n \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 vi\u1ebft ch\u01b0\u01a1ng tr\u00ecnh m\u00e1y t\u00ednh. \u0110i\u1ec1u n\u00e0y c\u00f3 th\u1ec3 khi\u1ebfn nh\u00f3m OpenAI nh\u00ecn th\u1ea5y \u0111\u01b0\u1ee3c c\u00f4ng tr\u00ecnh \u0111\u00f3.<\/p>\n

Sebastien Bubeck, nh\u00e0 nghi\u00ean c\u1ee9u c\u1ee7a OpenAI, ph\u1ee7 nh\u1eadn. Anh gi\u1ea3i th\u00edch th\u00eam \u0111\u1ec3 gi\u1ea3i quy\u1ebft b\u00e0i to\u00e1n, OpenAI \u0111\u00e3 ph\u00e2n c\u00f4ng 1.000 t\u00e1c nh\u00e2n AI x\u1eed l\u00fd b\u00e0i to\u00e1n Euler, m\u1ed9t b\u00e0i to\u00e1n t\u01b0\u01a1ng t\u1ef1 v\u00e0 l\u00e0 b\u01b0\u1edbc \u0111\u1ec7m quan tr\u1ecdng \u0111\u1ec3 ti\u1ebfn t\u1edbi l\u1eddi gi\u1ea3i ho\u00e0n ch\u1ec9nh cho Navier-Stokes. Nh\u00f3m AI n\u00e0y m\u1ea5t 50 gi\u1edd \u0111\u1ec3 t\u00ecm ra hi\u1ec7n t\u01b0\u1ee3ng b\u00f9ng n\u1ed5 trong tr\u01b0\u1eddng h\u1ee3p n\u00e0y.<\/p>\n

Sau \u0111\u00f3, OpenAI huy \u0111\u1ed9ng 10.000 t\u00e1c nh\u00e2n AI kh\u00e1c \u0111\u1ec3 m\u1edf r\u1ed9ng hi\u1ec7n t\u01b0\u1ee3ng b\u00f9ng n\u1ed5 sang h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh Navier-Stokes ho\u00e0n ch\u1ec9nh. Ch\u00fang \u0111i \u0111\u01b0\u1ee3c \u0111\u1ebfn k\u1ebft lu\u1eadn cu\u1ed1i c\u00f9ng sau t\u1ed5ng c\u1ed9ng 88 gi\u1edd k\u1ec3 t\u1eeb khi b\u1eaft \u0111\u1ea7u.<\/p>\n

Tr\u01b0\u1edbc \u0111\u00f3, trong 7 b\u00e0i to\u00e1n Thi\u00ean ni\u00ean k\u1ef7 do Vi\u1ec7n Clay \u0111\u1ec1 ra, ch\u1ec9 m\u1ed9t \u0111\u01b0\u1ee3c gi\u1ea3i quy\u1ebft. Nh\u00e0 to\u00e1n h\u1ecdc Grigori Perelman – ch\u1ee7 nh\u00e2n c\u00f4ng tr\u00ecnh, \u0111\u00e3 t\u1eeb ch\u1ed1i nh\u1eadn ph\u1ea7n th\u01b0\u1edfng m\u1ed9t tri\u1ec7u USD. OpenAI c\u0169ng cho bi\u1ebft kh\u00f4ng c\u00f3 \u00fd \u0111\u1ecbnh nh\u1eadn kho\u1ea3n n\u00e0y.<\/p>\n

Song quy tr\u00ecnh \u0111\u00e1nh gi\u00e1 gi\u1ea3i th\u01b0\u1edfng v\u1eabn s\u1ebd di\u1ec5n ra – m\u1ed9t c\u00e1ch thong th\u1ea3 v\u00e0 “\u0111\u1ea3m b\u1ea3o t\u00ednh nghi\u00eam ng\u1eb7t tuy\u1ec7t \u0111\u1ed1i”, theo email m\u00e0 Martin Bridson g\u1eedi t\u1edbi New Scientist<\/em>.<\/p>\n

C\u00e1c gi\u00e1o s\u01b0 to\u00e1n h\u1ecdc ph\u1ea3n \u1ee9ng kh\u00e1c nhau tr\u01b0\u1edbc th\u00f4ng tin tr\u00ean.<\/p>\n

“N\u1ebfu l\u1eddi gi\u1ea3i l\u00e0 ch\u00ednh x\u00e1c, t\u00f4i ngh\u0129 n\u00f3 s\u1ebd b\u1eaft \u0111\u1ea7u th\u1eddi k\u1ef3 m\u1edbi v\u1edbi gi\u1edbi to\u00e1n h\u1ecdc”, Gi\u00e1o s\u01b0 Amaury Hayat, tr\u01b0\u1eddng Qu\u1ed1c gia C\u1ea7u \u0111\u01b0\u1eddng Ph\u00e1p (\u00c9cole des Ponts ParisTech) n\u00f3i v\u1edbi Le Monde.<\/em><\/p>\n

C\u00f2n Terence Tao, Gi\u00e1o s\u01b0 \u0110\u1ea1i h\u1ecdc California-Los Angeles, ch\u1ee7 nh\u00e2n gi\u1ea3i Fields n\u0103m 2006, th\u1eadn tr\u1ecdng h\u01a1n. \u00d4ng cho r\u1eb1ng n\u1ebfu c\u00f4ng ngh\u1ec7 tr\u00ed tu\u1ec7 nh\u00e2n t\u1ea1o c\u00f3 th\u1ec3 gi\u1ea3i quy\u1ebft nh\u1eefng b\u00e0i to\u00e1n kh\u00f3 nh\u1ea5t v\u1edbi r\u1ea5t \u00edt s\u1ef1 h\u1ed7 tr\u1ee3 t\u1eeb gi\u1edbi to\u00e1n h\u1ecdc, th\u00ec c\u00f3 th\u1ec3 l\u00e0m suy y\u1ebfu s\u1ef1 hi\u1ec3u bi\u1ebft c\u1ee7a con ng\u01b0\u1eddi v\u1ec1 l\u0129nh v\u1ef1c n\u00e0y, theo The New York Times.<\/em><\/p>\n

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M\u1ed9t xo\u00e1y n\u01b0\u1edbc cu\u1ed9n tr\u00f2n li\u00ean quan l\u1eddi gi\u1ea3i cho b\u00e0i to\u00e1n v\u1ec1 ph\u01b0\u01a1ng tr\u00ecnh Navier-Stokes. \u1ea2nh: OpenAI<\/em><\/p>\n<\/figcaption><\/figure>\n

Kh\u00e1nh Linh<\/strong> t\u1ed5ng h\u1ee3p<\/em><\/p>\n

\nNgu\u1ed3n b\u00e0i vi\u1ebft:<\/strong> VnExpress \u2014 Xem b\u00e0i vi\u1ebft g\u1ed1c<\/a>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

OpenAI tuy\u00ean b\u1ed1 c\u00e1c t\u00e1c nh\u00e2n AI \u0111\u00e3 t\u00ecm ra l\u1eddi gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh Navier-Stokes, thu\u1ed9c di\u1ec7n kh\u00f3 v\u00e0 dai d\u1eb3ng nh\u1ea5t trong to\u00e1n h\u1ecdc, song v\u01b0\u1edbng tranh c\u00e3i v\u1ec1 ngu\u1ed3n g\u1ed1c l\u1eddi gi\u1ea3i.<\/p>\n","protected":false},"author":1,"featured_media":590,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[65],"tags":[],"svh_topic":[],"class_list":["post-589","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-tin-tuc"],"_links":{"self":[{"href":"https:\/\/sungroupvinhhung.info.vn\/index.php\/wp-json\/wp\/v2\/posts\/589","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sungroupvinhhung.info.vn\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/sungroupvinhhung.info.vn\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/sungroupvinhhung.info.vn\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/sungroupvinhhung.info.vn\/index.php\/wp-json\/wp\/v2\/comments?post=589"}],"version-history":[{"count":1,"href":"https:\/\/sungroupvinhhung.info.vn\/index.php\/wp-json\/wp\/v2\/posts\/589\/revisions"}],"predecessor-version":[{"id":591,"href":"https:\/\/sungroupvinhhung.info.vn\/index.php\/wp-json\/wp\/v2\/posts\/589\/revisions\/591"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/sungroupvinhhung.info.vn\/index.php\/wp-json\/wp\/v2\/media\/590"}],"wp:attachment":[{"href":"https:\/\/sungroupvinhhung.info.vn\/index.php\/wp-json\/wp\/v2\/media?parent=589"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sungroupvinhhung.info.vn\/index.php\/wp-json\/wp\/v2\/categories?post=589"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sungroupvinhhung.info.vn\/index.php\/wp-json\/wp\/v2\/tags?post=589"},{"taxonomy":"svh_topic","embeddable":true,"href":"https:\/\/sungroupvinhhung.info.vn\/index.php\/wp-json\/wp\/v2\/svh_topic?post=589"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}