Cauchy Problem and Exponential Stability for the Inhomogeneous Landau Equation

被引：0
作者：
Kleber Carrapatoso
Isabelle Tristani
Kung-Chien Wu
机构：
[1] École Normale Supérieure de Cachan,Department of Mathematics
[2] CMLA (UMR 8536),National Center for Theoretical Sciences
[3] Université Paris Dauphine,undefined
[4] Ceremade (UMR 7534),undefined
[5] National Cheng Kung University,undefined
[6] National Taiwan University,undefined
来源：
Archive for Rational Mechanics and Analysis | 2016年 / 221卷
关键词：
Cauchy Problem; Exponential Stability; Landau Equation; Exponential Weight; Soft Potential;
D O I：
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学科分类号：
摘要：
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 an exponential stability for such a solution, with a rate as close as we want to the optimal rate given by the semigroup decay.
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页码：363 / 418
页数：55
相关论文
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