Periodic Vlasov-Stokes' system: Existence and Uniqueness of strong solutions

2023/05/31 by Harsha Hutridurga, Krishan Kumar, Hutridurga, Harsha +3
Earth and Planetary Sciences · Mathematics · #35Q35 #35Q83 #Analysis of PDEs (math.AP) #Aquatic and Environmental Studies #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.2305.19576

openalex publication_date 2023/05/31 · openalex created_date 2023/06/02 · openalex updated_date 2026/07/28

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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