{"count":262,"next":null,"previous":"https://memento.epfl.ch/api/v1/events/?format=json&limit=10&offset=250&ordering=-event__end_time","results":[{"id":71574,"title":"Entropy methods and nonlinear flows for symmetry and stability results","slug":"entropy-methods-and-nonlinear-flows-for-symmetry-a","event_url":"https://memento.epfl.ch/event/entropy-methods-and-nonlinear-flows-for-symmetry-a","visual_url":"https://memento.epfl.ch/image/32910/200x112.jpg","visual_large_url":"https://memento.epfl.ch/image/32910/720x405.jpg","visual_maxsize_url":"https://memento.epfl.ch/image/32910/max-size.jpg","lang":"en","start_date":"2026-05-01","end_date":"2026-05-01","start_time":"14:15:00","end_time":null,"description":"<strong>Abstract</strong><br>\r\nThe lecture will be based on entropy methods for nonlinear diffusion equations with two main goals: 1. A review of various results of symmetry for the optimizers of nonlinear interpolation inequalities and a classification of some phase transitions between symmetry and symmetry breaking regimes; 2. Constructive methods for stability results in functional inequalities, including explicit results à la Bianchi-Egnell for Sobolev, log-Sobolev and related functional inequalities. Most of these results are based on a nonlinear carré du champ method.","image_description":"","creation_date":"2026-04-12T18:11:57","last_modification_date":"2026-04-13T11:52:07","link_label":"","link_url":"","canceled":"False","cancel_reason":"","place_and_room":"MA B1 11","url_place_and_room":"https://plan.epfl.ch/?room==MA%20B1%2011","url_online_room":"","spoken_languages":["https://memento.epfl.ch/api/v1/spoken_languages/2/?format=json"],"speaker":"<strong>Pof. Jean Dolbeault</strong> (Paris Dauphine University – France)","organizer":"","contact":"B. Buffoni, SMA","is_internal":"False","theme":"","vulgarization":{"id":2,"fr_label":"Public averti","en_label":"Informed public"},"registration":{"id":3,"fr_label":"Entrée libre","en_label":"Free"},"keywords":"","file":null,"icalendar_url":"https://memento.epfl.ch/event/export/120350/","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/1/?format=json","https://memento.epfl.ch/api/v1/mementos/259/?format=json","https://memento.epfl.ch/api/v1/mementos/7/?format=json","https://memento.epfl.ch/api/v1/mementos/238/?format=json","https://memento.epfl.ch/api/v1/mementos/239/?format=json","https://memento.epfl.ch/api/v1/mementos/6/?format=json"]},{"id":71590,"title":"Advection by shears with critical points in the presence of diffusion","slug":"advection-by-shears-with-critical-points-in-the-pr","event_url":"https://memento.epfl.ch/event/advection-by-shears-with-critical-points-in-the-pr","visual_url":"https://memento.epfl.ch/image/32923/200x112.jpg","visual_large_url":"https://memento.epfl.ch/image/32923/720x405.jpg","visual_maxsize_url":"https://memento.epfl.ch/image/32923/max-size.jpg","lang":"en","start_date":"2026-05-08","end_date":"2026-05-08","start_time":"14:15:00","end_time":null,"description":"<div class=\"elementToProof\">Abstract:<br>\r\nShear flows are one of the most well studied classes of vector fields. An important feature of shear flows is their ability to generate small scales and mix quantities that they transport. For passive scalar transport, these mixing rates can be quantified in a rather straightforward way. </div>\r\n\r\n<div class=\"elementToProof\">However, quantifying mixing rates for 2d Euler linearized around non-monotone shears is surprisingly subtle due to an effect known as vorticity depletion which is not present in the passive transport case. Since real fluids have viscosity, a natural question is to understand whether mixing rates persist in the presence of viscosity. In this talk, I will discuss recent progress on addressing this question for both the passive scalar advection-diffusion equation and the linearized Navier-Stokes equation. Based on joint work with Dallas Albritton (University of Wisconsin), Shan Chen (University of Minnesota), and Hao Jia (University of Minnesota). </div>\r\n\r\n<div class=\"elementToProof\"> </div>","image_description":"","creation_date":"2026-04-14T13:45:00","last_modification_date":"2026-04-14T13:45:00","link_label":"","link_url":"","canceled":"False","cancel_reason":"","place_and_room":"MA B1 11","url_place_and_room":"https://plan.epfl.ch/?room==MA%20B1%2011","url_online_room":"","spoken_languages":["https://memento.epfl.ch/api/v1/spoken_languages/2/?format=json"],"speaker":"Prof. Rajendra Beekie (Imperial College London)","organizer":"Prof. Maria Colombo","contact":"Dr. Michele Dolce","is_internal":"False","theme":"","vulgarization":{"id":1,"fr_label":"Tout public","en_label":"General public"},"registration":{"id":3,"fr_label":"Entrée libre","en_label":"Free"},"keywords":"","file":null,"icalendar_url":"https://memento.epfl.ch/event/export/120374/","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","https://memento.epfl.ch/api/v1/mementos/259/?format=json"]}]}