We investigate an anisotropic vanishing viscosity limit of the 3D stochastic Navier-Stokes equations posed between two horizontal plates, with Dirichlet no-slip boundary condition. The turbulent viscosity is split into horizontal and vertical directions, each of which approaches zero at a different rate. The underlying Cylindrical Brownian Motion driving our transport-stretching noise is decomposed into horizontal and vertical components, which are scaled by the square root of the respective directional viscosities. We prove that if the ratio of the vertical to horizontal viscosities approaches zero, then there exists a sequence of weak martingale solutions convergent to the strong solution of the deterministic Euler equation on its lifetime of existence. A particular challenge is that the anisotropic scaling ruins the divergence-free property for the spatial correlation functions of the noise.
","image_description":"","creation_date":"2026-02-18T12:59:24","last_modification_date":"2026-03-22T19:58:56","link_label":"Working-Reading Seminar","link_url":"https://www.epfl.ch/labs/stoan/reading-working-seminar/","canceled":"True","cancel_reason":"","place_and_room":"MA B2 485","url_place_and_room":"","url_online_room":"","spoken_languages":["https://memento.epfl.ch/api/v1/spoken_languages/2/?format=json"],"speaker":"Dr Daniel Goodair (EPFL)","organizer":"Xue-Mei Li","contact":"Xue-Mei Li","is_internal":"False","theme":"","vulgarization":{"id":3,"fr_label":"Expert","en_label":"Expert"},"registration":{"id":3,"fr_label":"Entrée libre","en_label":"Free"},"keywords":"Working-Reading seminar, Probability, stochastic analysis","file":null,"icalendar_url":"https://memento.epfl.ch/event/export/119781/","category":{"id":1,"code":"CONF","fr_label":"Conférences - Séminaires","en_label":"Conferences - Seminars","activated":true},"academic_calendar_category":null,"domains":[],"mementos":["https://memento.epfl.ch/api/v1/mementos/7/?format=json"]},{"id":71930,"title":"Generative models for black-box optimization of complex objectives","slug":"generative-models-for-black-box-optimization-of-co","event_url":"https://memento.epfl.ch/event/generative-models-for-black-box-optimization-of-co","visual_url":null,"visual_large_url":null,"visual_maxsize_url":null,"lang":"en","start_date":"2026-07-09","end_date":"2026-07-09","start_time":"10:00:00","end_time":"12:00:00","description":"EDIC candidacy examEPFL racing team will provide an update on the main achievments of this year
","image_description":"","creation_date":"2026-04-22T11:10:32","last_modification_date":"2026-04-22T11:18:18","link_label":"","link_url":"","canceled":"False","cancel_reason":"","place_and_room":"DLLEL 0 28","url_place_and_room":"https://plan.epfl.ch/?room==DLLEL%200%2028","url_online_room":"","spoken_languages":["https://memento.epfl.ch/api/v1/spoken_languages/1/?format=json","https://memento.epfl.ch/api/v1/spoken_languages/2/?format=json"],"speaker":"EPFL Racing team","organizer":"EPFL Racing Team","contact":"epfl-racing-team@epfl.ch","is_internal":"False","theme":"","vulgarization":{"id":2,"fr_label":"Public averti","en_label":"Informed public"},"registration":{"id":2,"fr_label":"Sur invitation","en_label":"Invitation required"},"keywords":"","file":null,"icalendar_url":"https://memento.epfl.ch/event/export/120477/","category":{"id":1,"code":"CONF","fr_label":"Conférences - Séminaires","en_label":"Conferences - Seminars","activated":true},"academic_calendar_category":null,"domains":[],"mementos":["https://memento.epfl.ch/api/v1/mementos/10/?format=json","https://memento.epfl.ch/api/v1/mementos/398/?format=json"]},{"id":71899,"title":"Registration deadline: CREApoly – Collective Expressions","slug":"registration-deadline-creapoly-collective-expressi","event_url":"https://memento.epfl.ch/event/registration-deadline-creapoly-collective-expressi","visual_url":"https://memento.epfl.ch/image/33217/200x112.jpg","visual_large_url":"https://memento.epfl.ch/image/33217/720x405.jpg","visual_maxsize_url":"https://memento.epfl.ch/image/33217/max-size.jpg","lang":"en","start_date":"2026-05-18","end_date":"2026-06-30","start_time":null,"end_time":null,"description":"EPFL invites its staff and doctoral students to exhibit their artistic works (paintings, ceramics, framed works on paper, textile art, sculpture, mixed media; no photographs or videos) as part of the CREApoly exhibition. This exhibition offers a space for free, creative, and non-judgmental expression where you can share your artistic vision.
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\r\nA community-focused initiative organized as part of the 2026 Health days and Les Culturelles Festival.
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\r\nPractical Information:\r\n
European Framework Programs for Research and Innovation.
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\r\nIs your laboratory involved in one or several European projects, and is one of your responsibilities to ensure their effective administrative, financial, and human‑resources management? If so, it is important to take the time to become familiar with the structure of these projects and with the specific management rules that apply to them.
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\r\nThis training course will guide you through the contractual documents and their relevant content for project management. Administrative, financial, and HR management rules will be presented and discussed using practical case studies.
\r\nThe training will also help participants become familiar with the European portal and the SEFRI reporting platform.
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\r\nIt is recommended to attend this training as early as possible, ideally at the start of the project.