A Korn-Wirtinger inequality

Spectral Methods in Mathematical Physics

28 February 14:00 - 15:00

Frédéric Herau - Université de Nantes

In kinetic theory or in other fields, some control of the gradient by the symmetric gradient of the macroscopic velocity of a system of particle may be necessary, since only the second quantity appears naturally in physical equations. This type of inequality is known on bounded domains with or without axisymmetries.
In this talk, we present a version on the whole space equipped with a probability measure, and give an example where this type of tool may be useful.
This is a joint work with K. Carrapatoso, J. Dolbeault, S. Mischler, C. Mouhot, and C. Schmeiser.
Søren Fournais
Aarhus University
Rupert Frank
LMU Munich
Benjamin Schlein
University of Zurich, UZH
Simone Warzel
TU Munich


Rupert Frank


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