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Article Dans Une Revue Journal of Differential Equations Année : 2018

Stability analysis of a Vlasov-Wave system describing particles interacting with their environment

Résumé

We study a kinetic equation of the Vlasov-Wave type, which arises in the description of the behaviour of a large number of particles interacting weakly with an environment, composed of an infinite collection of local vibrational degrees of freedom, modeled by wave equations. We use variational techniques to establish the existence of large families of stationary states for this system, and analyze their stability.
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Dates et versions

hal-01581676 , version 1 (05-09-2017)

Identifiants

  • HAL Id : hal-01581676 , version 1

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Stephan de Bièvre, Thierry Goudon, Arthur Vavasseur. Stability analysis of a Vlasov-Wave system describing particles interacting with their environment. Journal of Differential Equations, 2018, 264 (12), pp.7069-7093. ⟨hal-01581676⟩
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