Cauchy problem and exponential stability for the inhomogeneous Landau equation
Analysis of PDEs
2016-02-17 v3
Abstract
This work deals with the inhomogeneous Landau equation on the torus in the cases of hard, maxwellian and moderately soft potentials. We first investigate the linearized equation and we prove exponential decay estimates for the associated semigroup. We then turn to the nonlinear equation and we use the linearized semigroup decay in order to construct solutions in a close-to-equilibrium setting. Finally, we prove a exponential stability for such a solution, with a rate as close as we want to the optimal rate given by the semigroup decay.
Keywords
Cite
@article{arxiv.1504.04124,
title = {Cauchy problem and exponential stability for the inhomogeneous Landau equation},
author = {Kleber Carrapatoso and Isabelle Tristani and Kung-Chien Wu},
journal= {arXiv preprint arXiv:1504.04124},
year = {2016}
}