Nonlocal Stokes-Vlasov system: Existence and deterministic homogenization results
Gabriel Nguetseng,
Celestin Wafo Soh,
Jean Louis Woukeng
Abstract:Our work deals with the systematic study of the coupling between the nonlocal Stokes system and the Vlasov equation. The coupling is due to a drag force generated by the fluid-particles interaction. We establish the existence of global weak solutions for the nonlocal Stokes-Vlasov system in dimensions two and three without resorting to assumptions on higher-order velocity moments of the initial distribution of particles. We then study by the means of the sigma-convergence method, the asymptotic behavior in the… Show more
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