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A toy nonlinear model in kinetic theory

Abstract : This note is concerned with the study of a toy nonlinear model in kinetic theory. It consists in a non-linear kinetic Fokker-Planck equation whose diffusion in the velocity variable is proportional to the mass of the solution and steady states are Maxwellian. Solutions are constructed by combining energy estimates, well-designed hypoelliptic Schauder estimates, and the hypoelliptic extension of the De Giorgi-Nash Hölder estimates obtained recently by Golse, Vasseur and the two authors (2017).
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Contributor : Cyril Imbert <>
Submitted on : Tuesday, January 23, 2018 - 12:36:06 PM
Last modification on : Friday, June 12, 2020 - 11:02:06 AM
Document(s) archivé(s) le : Thursday, May 24, 2018 - 11:33:54 AM


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  • HAL Id : hal-01690354, version 1
  • ARXIV : 1801.07891


Cyril Imbert, Clément Mouhot. A toy nonlinear model in kinetic theory. 2018. ⟨hal-01690354v1⟩



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