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arXiv · 2201.01597

Global weak solutions to the Vlasov-Poisson-Fokker-Planck-Navier-Stokes system

Li Chen·Fucai Li·Yue Li·Nicola Zamponi
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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 $\gamma>3/2$, we establish the global existence of weak solutions to this system with arbitrary large initial and boundary data.

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Li Chen, Fucai Li, Yue Li, Nicola Zamponi. 2022-01-05. Global weak solutions to the Vlasov-Poisson-Fokker-Planck-Navier-Stokes system. https://doi.org/10.1002/mma.8672

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