2009/01/01 by Hyung Ju Hwang, Juan J. L. Velázquez · 1 citation
Mathematics · #Gas Dynamics and Kinetic Theory #Navier-Stokes equation solutions #Advanced Mathematical Physics Problems
paper · doi:10.1512/iumj.2009.58.3835
openalex publication_date 2009/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/15
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.