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Cauchy problem and exponential stability for the inhomogeneous Landau equation

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.

preprint2015arXivOpen access
Kleber CarrapatosoIsabelle TristaniKung-Chien Wu
math.AP
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Open access3 authors1 topic
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
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Kleber CarrapatosoIsabelle TristaniKung-Chien Wu

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