ASYMPTOTIC STABILITY OF THE STATIONARY SOLUTION TO AN OUTFLOW PROBLEM FOR THE COMPRESSIBLE NAVIER-STOKES EQUATIONS FOR A REACTING MIXTURE

被引：1

作者：

Meng, Nianxia ^{[1
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2023年 / 28卷 / 08期

关键词：

Outflow problem; Stationary solution; Asymptotic stability; Reactive mixture; ONE-DIMENSIONAL EQUATIONS; LARGE-TIME BEHAVIOR; CONVERGENCE RATE; RAREFACTION WAVE; GLOBAL-SOLUTIONS; EXISTENCE; SYSTEM; FLUID; GAS;

D O I：

10.3934/dcdsb.2023021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the large-time behavior of solutions to an outflow problem in one-dimensional half space for compressible Navier-Stokes equations for a reacting mixture. First, we show the existence and spatial decay rate of the stationary solution provided with the boundary data is small enough. Next, by means of the energy method and a Poincare ' type inequality, we prove that the stationary solution is asymptotically stable under the small assumptions on the boundary data and the initial perturbation in the Sobolev space.

引用

页码：4424 / 4441

页数：18

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