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On the existence of exponentially decreasing solutions of the nonlinear Landau damping problem (2009)
| Venue: | Indiana Univ. Math. J |
| Citations: | 9 - 0 self |
BibTeX
@ARTICLE{Hwang09onthe,
author = {Hyung Ju Hwang and Juan J. L. Velázquez},
title = {On the existence of exponentially decreasing solutions of the nonlinear Landau damping problem},
journal = {Indiana Univ. Math. J},
year = {2009},
pages = {2623--2660}
}
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Abstract
Abstract.- In this paper we prove the existence of a large class of periodic solutions of the Vlasov-Poisson in one space dimension that decay exponentially as t → ∞. The exponential decay is well known for the linearized version of the Landau damping problem. The results in this paper provide the first example of solutions of the whole nonlinear Vlasov-Poisson system that exhibit such rate of decay. Keywords.- Landau damping, Vlasov-Poisson system, exponential decay, analiticity properties of the solutions.
