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Home » Euler/Navier Stokes (Part 1): Recent results on the instability of boundary layer models

Seminar

Euler/Navier Stokes (Part 1): Recent results on the instability of boundary layer models May 20, 2021 (08:00 AM PDT - 09:00 AM PDT)
Parent Program:
Location: MSRI: Online/Virtual
Speaker(s) David Gerard-Varet (Université de Paris XI)
Description

To participate in this seminar, please register here: https://www.msri.org/seminars/25657

 

 

Video

Recent Results on the Instability of Boundary Layer Models

Abstract/Media

To participate in this seminar, please register here: https://www.msri.org/seminars/25657

Many hydrodynamic instabilities take place near a solid boundary at high Reynolds number. This reflects into the mathematical theory of the classical Prandtl model for the boundary layer: it exhibits high frequency instabilities, limiting its well-posedness to infinite regularity (Gevrey) spaces. After reviewing shortly this fact, we will turn to the Triple Deck model, an improvement of the Prandtl system that is commonly accepted to be more stable. We will show that this is actually wrong, and that the recent result of analytic well-posedness by Iyer and Vicol is more or less optimal.



This is based on joint work with Helge Dietert.

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Recent Results on the Instability of Boundary Layer Models