Article Contents
Article Contents

# Convergence rate of solutions toward stationary solutions to a viscous liquid-gas two-phase flow model in a half line

• In this paper we study an asymptotic behavior of a solution to the initial boundary value problem for a viscous liquid-gas two-phase flow model in a half line $R_+:=(0,\infty).$ Our idea mainly comes from [23] and [29] which describe an isothermal Navier-Stokes equation in a half line. We obtain the convergence rate of the time global solution towards corresponding stationary solution in Eulerian coordinates. Precisely, if an initial perturbation decays with the algebraic or the exponential rate in space, the solution converges to the corresponding stationary solution as time tends to infinity with the algebraic or the exponential rate in time. These theorems are proved by a weighted energy method.
Mathematics Subject Classification: Primary: 35B35, 35B40; Secondary: 76T10.

 Citation:

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