Nonlinear stability for the confined Vlasov-Poisson system
Published on:
7 May 2024
Primary Category:
Analysis of PDEs
Paper Authors:
A. D. Ionescu,
B. Pausader,
X. Wang,
K. Widmayer
Bullets
Key Details
Proves nonlinear Landau damping in optimal Gevrey-3 spaces
Constructs nonlinear scattering operators
Shows solutions scatter linearly and information is preserved
Answers two major open problems definitively
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Nonlinear stability for the confined Vlasov-Poisson system
This paper proves nonlinear Landau damping and constructs nonlinear scattering operators for the confined Vlasov-Poisson system in optimal weighted Gevrey-3 spaces, giving definitive answers to two major open problems on asymptotic stability and information preservation during nonlinear evolution.
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