The Vlasov-Navier-Stokes system in a 2D pipe: existence and stability of regular equilibria - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Archive for Rational Mechanics and Analysis Année : 2018

The Vlasov-Navier-Stokes system in a 2D pipe: existence and stability of regular equilibria

Ayman Moussa
Daniel Han-Kwan

Résumé

In this paper, we study the Vlasov-Navier-Stokes system in a 2D pipe with partially absorbing boundary conditions. We show the existence of stationary states for this system near small Poiseuille flows for the fluid phase, for which the kinetic phase is not trivial. We prove the asymptotic stability of these states with respect to appropriately compactly supported perturbations. The analysis relies on geometric control conditions which help to avoid any concentration phenomenon for the kinetic phase.

Dates et versions

hal-01432966 , version 1 (12-01-2017)

Identifiants

Citer

Ayman Moussa, Olivier Glass, Daniel Han-Kwan. The Vlasov-Navier-Stokes system in a 2D pipe: existence and stability of regular equilibria. Archive for Rational Mechanics and Analysis, 2018, 230 (2), pp.593-639. ⟨10.1007/s00205-018-1253-1⟩. ⟨hal-01432966⟩
488 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More