Periodic Vlasov-Stokes' system: Existence and Uniqueness of strong solutions
Analysis of PDEs
2023-06-01 v1
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.
Keywords
Cite
@article{arxiv.2305.19576,
title = {Periodic Vlasov-Stokes' system: Existence and Uniqueness of strong solutions},
author = {Harsha Hutridurga and Krishan Kumar and Amiya K. Pani},
journal= {arXiv preprint arXiv:2305.19576},
year = {2023}
}
Comments
10 pages