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arXiv · 2203.02749

Global existence and large time behavior of weak solutions to the two-phase flow

Ya-Ting Wang·Ling-Yun Shou
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Abstract

In this paper, we consider a two-phase flow model consisting of the compressible Navier-Stokes systems with degenerate viscosity coupled with the compressible Navier-Stokes systems with constant viscosities via a drag force, which can be derived from Chapman-Enskog expansion for the compressible Navier-Stokes-Vlasov-Fokker-Planck system. For general initial data, we establish the global existence of weak solutions with finite energy to the initial value problem in the three-dimensional periodic domain, and prove the convergence of global weak solutions to its equilibrium state as the time tends to infinity.

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Ya-Ting Wang, Ling-Yun Shou. 2022-03-05. Global existence and large time behavior of weak solutions to the two-phase flow. https://arxiv.org/abs/2203.02749

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