Global weak solutions to the Vlasov-Poisson-Fokker-Planck-Navier-Stokes system
Analysis of PDEs
2023-01-04 v1
Abstract
We consider the compressible Vlasov-Poisson-Fokker-Planck-Navier-Stokes system in a three dimensional bounded domain with nonhomogeneous Dirichlet boundary conditions. The system describes the evolution of charged particles ensemble dispersed in an isentropic fluid. For the adiabatic coefficient , we establish the global existence of weak solutions to this system with arbitrary large initial and boundary data.
Keywords
Cite
@article{arxiv.2201.01597,
title = {Global weak solutions to the Vlasov-Poisson-Fokker-Planck-Navier-Stokes system},
author = {Li Chen and Fucai Li and Yue Li and Nicola Zamponi},
journal= {arXiv preprint arXiv:2201.01597},
year = {2023}
}