{"id":8586,"date":"2021-03-08T09:09:06","date_gmt":"2021-03-08T00:09:06","guid":{"rendered":"https:\/\/www.waseda.jp\/inst\/sgu\/?p=8586"},"modified":"2022-08-25T11:02:42","modified_gmt":"2022-08-25T02:02:42","slug":"stochastic-partial-differential-equations-in-fluid-mechanics-2021","status":"publish","type":"post","link":"https:\/\/www.waseda.jp\/inst\/sgu\/news-en\/2021\/03\/08\/8586\/","title":{"rendered":"Stochastic Partial Differential Equations in Fluid Mechanics 2021"},"content":{"rendered":"

Professor Franco Flandoli from the Scuola Normale Superiore di Pisa in Italy will give a series of lectures on the stochastic partial differential equations in fluid mechanics.<\/p>\n

\"\"

Professor Franco Flandoli (Scuola Normale Superiore di Pisa, Italy)<\/p><\/div>\n

Event details<\/h4>\n

Date and Time:<\/strong>
\nApril 8 (Thurs.), 2021 from 16:00-18:20
\nApril 15 (Thurs.), 2021 from 16:00-18:20
\nApril 22 (Thurs.), 2021 from 16:00-18:20
\nApril 29 (Thurs.), 2021 from 16:00-18:20
\nMay 6 (Thurs.), 2021 from 16:00-18:20<\/p>\n

Venue:\u00a0<\/strong>Real-time Zoom lectures \u21d2Registration<\/strong><\/a><\/p>\n

Languages<\/strong>: English
\nLecturer<\/strong>: Professor Franco Flandoli (Scuola Normale Superiore di Pisa, Italy)
\nParticipants<\/strong>: Open to all students, faculty members, and the general public
\nAdmission<\/strong>: Free<\/p>\n

Lecture no. 1\u3000April 8 (Thurs.)<\/h4>\n

Stochastic Navier-Stokes equations with additive noise in dimension 2 and 3: basic definitions, path by path approach. Hint to the random dynamical system viewpoint.<\/p>\n

\u25a0Lecture notes\uff1a\u00a0Chapter 1 <\/a><\/strong><\/p>\n

\u25a0Slides\u00a0:<\/strong> Lecture 1<\/a><\/strong><\/p>\n

Lecture no. 2\u3000April 15 (Thurs.)<\/h4>\n

Stochastic Navier-Stokes equations in dimension 2 and 3 with more general noise, including transport type one: compactness method, weak solutions; uniqueness in dimension 2. Hint to the problem of Markov selections in dimension 3.<\/p>\n

\u25a0Lecture notes\uff1a\u00a0Chapter 2 (Half version) \u00a0<\/a><\/strong><\/p>\n

\u25a0Slides\u00a0:<\/strong> Lecture 2<\/strong><\/a><\/p>\n

Lecture no. 3\u3000 April 22 (Thurs.)<\/h4>\n

Navier-Stokes equations with Stratonovich transport type noise: basic definitions, conservation laws. Intuition about its emergence from model reduction; a rigorous proof for 2D Euler equations.<\/p>\n

\u25a0Lecture notes\uff1a Chapter 2 (Full version)<\/a><\/strong><\/p>\n

\u25a0Slides\u00a0\uff1aLecture 3 <\/a><\/strong><\/p>\n

Lecture no. 4\u3000April 29 (Thurs.)<\/h4>\n

Eddy viscosity and eddy dissipation produced by transport type noise; stochastic mixing and dissipation enhancement.<\/p>\n

\u25a0Lecture notes\u00a0\uff1aChapter 3<\/a>\u00a0<\/strong><\/p>\n

\u25a0Slides\u00a0:\u00a0 Lecture 4<\/a>\u00a0<\/strong><\/p>\n

Lecture no. 5\u3000May 6 (Thurs.)<\/h4>\n

Regularization by noise: results and open problems concerning transport equations, Euler and Navier-Stokes equations with transport type noise.<\/p>\n

\u25a0Lecture notes\uff1aChapter3_final<\/a> \u00a0New!<\/span> \u3000<\/strong><\/p>\n

\u25a0Slides\u00a0:\u00a0Lecture5 <\/a>\u00a0New!<\/span> \u3000<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"

Professor Franco Flandoli from the Scuola Normale Superiore di Pisa in Italy will give a series of lectures on […]<\/p>\n","protected":false},"author":3,"featured_media":7352,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[18],"tags":[83,109],"class_list":["post-8586","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-news-en","tag-events-en","tag-en-mams"],"acf":[],"_links":{"self":[{"href":"https:\/\/www.waseda.jp\/inst\/sgu\/wp-json\/wp\/v2\/posts\/8586","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.waseda.jp\/inst\/sgu\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.waseda.jp\/inst\/sgu\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.waseda.jp\/inst\/sgu\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/www.waseda.jp\/inst\/sgu\/wp-json\/wp\/v2\/comments?post=8586"}],"version-history":[{"count":3,"href":"https:\/\/www.waseda.jp\/inst\/sgu\/wp-json\/wp\/v2\/posts\/8586\/revisions"}],"predecessor-version":[{"id":16532,"href":"https:\/\/www.waseda.jp\/inst\/sgu\/wp-json\/wp\/v2\/posts\/8586\/revisions\/16532"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.waseda.jp\/inst\/sgu\/wp-json\/wp\/v2\/media\/7352"}],"wp:attachment":[{"href":"https:\/\/www.waseda.jp\/inst\/sgu\/wp-json\/wp\/v2\/media?parent=8586"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.waseda.jp\/inst\/sgu\/wp-json\/wp\/v2\/categories?post=8586"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.waseda.jp\/inst\/sgu\/wp-json\/wp\/v2\/tags?post=8586"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}