On the neighborhood of an inhomogeneous stable stationary solution of the Vlasov equation—Case of an attractive cosine potential

DOI10.1063/1.4927689zbMath1332.35361arXiv1311.3182OpenAlexW1079208330MaRDI QIDQ2943418

Yoshiyuki Y. Yamaguchi, Julien Barré

Publication date: 11 September 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.3182

zbMATH Keywords

stable stationary solutionsVlasov equationcosine potentialHamilton Mean-Field model

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Statistical mechanics of plasmas (82D10) Vlasov equations (35Q83)

Related Items (4)

Nonlinear stability criteria for the HMF model ⋮ Stable ground states for the HMF Poisson model ⋮ On linear damping around inhomogeneous stationary states of the Vlasov-HMF model ⋮ Nonlinear instability of inhomogeneous steady states solutions to the HMF model

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