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Mathematical Physics Seminar

Hydrodynamic quantities govern moments bounds for the Boltzmann equation with long-range interactions

Clement Mouhot - University of Cambridge

Location:  Hill 705
Date & time: Thursday, 11 April 2019 at 12:00PM - 1:00PM

Abstract:  We will present joint works with Cyril Imbert and Luis Silvestre about decy at large velocities for a priori solutions to the Boltzmann equation, for long-range interactions and in a periodic box, when the local mass, energy and entropy remain bounded.

This is part of a program of conditional regularity for solutions to kinetic equations. The arguments combines maximum principle techniques and estimates of the collision operator and the effect of grazing collisions. 

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