Periodic Vlasov-Stokes' system: Existence and Uniqueness of strong solutions (2305.19576v1)

Published 31 May 2023 in math.AP

Abstract: This paper deals with the Vlasov-Stokes' system in three dimensions with periodic boundary conditions in the spatial variable. We prove the existence of a unique strong solution to this two-phase model under the assumption that initial velocity moments of certain order are bounded. We use a fixed point argument to arrive at a global-in-time solution.

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