A toy nonlinear model in kinetic theory
Imbert, Cyril ; Mouhot, Clément
HAL, hal-01690354 / Harvested from HAL
Text on HAL
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).
Publié le : 2018-01-23
Classification:  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] 
@article{hal-01690354,
     author = {Imbert, Cyril and Mouhot, Cl\'ement},
     title = {A toy nonlinear model in kinetic theory},
     journal = {HAL},
     volume = {2018},
     number = {0},
     year = {2018},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01690354}
}

Imbert, Cyril; Mouhot, Clément. A toy nonlinear model in kinetic theory. HAL, Tome 2018 (2018) no. 0, . http://gdmltest.u-ga.fr/item/hal-01690354/