Recent Progress on Outflow/Inflow Problem for Viscous Multi-phase Flow

doi:10.1007/s42967-022-00194-1

Abstract

Abstract: According to the boundary condition with the zero, negative, or positive velocity, the initial boundary problem for compressible multi-phase flow with the Dirichlet-type boundary condition can be classified into three cases: impermeable problem, inflow problem, or outflow problem. In this paper, we review the recent progress on the existence and nonlinear stability of the stationary solution to the outflow/inflow problems for viscous multi-phase flow.

Key words: Two-phase flow, Outflow/inflow problem, Stationary solution, Navier-Stokes equations

CLC Number:

Fangfang Hao, Hai-Liang Li, Luyao Shang, Shuang Zhao. Recent Progress on Outflow/Inflow Problem for Viscous Multi-phase Flow[J]. Communications on Applied Mathematics and Computation, 2023, 5(3): 987-1014.

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