Séminaires : Dynamical systems and PDEs

Equipe(s) : gd,
Responsables :Sergei Kuksin, Dmitrii Treschev
Email des responsables : sergei.kuksin@imj-prg.fr
Salle : https://mi-ras-ru.zoom.us/j/98541889798?pwd=SGdnT2lPWCtrbzNjOHQyb09NS0dXdz09
Adresse :Zoom
Description Paris 7 Diderot & Steklov Mathematical Institute Online Seminar

Orateur(s) Alexander Kiselev - Alexander Kiselev (Duke University,
Titre Small scale creation in active scalars
Horaire16:00 à 17:00
RésumeAn active scalar is advected by fluid velocity that is determined by the scalar itself. Active scalars appear in many situations in fluid mechanics, with the most classical example being 2D Euler equation in vorticity form. Usually, active scalar equations are both nonlinear and nonlocal, and their solutions spontaneously generate small scales. In this talk, I will discuss rigorous examples of small scale formation that involves infinite in time growth of derivatives for the 2D Euler equation, the SQG equation and the 2D IPM equation.