Convergence rate of solutions toward stationary solutions to a two-phase model with magnetic field in a half line

被引：7
|
作者：
Yin, Haiyan [1 ,2 ]
Zhu, Limei [1 ,2 ]
机构：
[1] Huaqiao Univ, Sch Math Sci, Quanzhou 362021, Fujian, Peoples R China
[2] South China Univ Technol, Dept Math, Guangzhou 510641, Guangdong, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2020年 / 51卷 / 51期
基金：
中国国家自然科学基金;
关键词：
Two-phase model with magnetic field; Stationary solutions; Convergence rates; Weighted energy method; GLOBAL WEAK SOLUTIONS; NAVIER-STOKES EQUATIONS; GAS-LIQUID MODEL; ASYMPTOTIC STABILITY; WELL-POSEDNESS; INFLOW PROBLEM; CLASSICAL-SOLUTIONS; FLOW MODEL; BEHAVIOR; SYSTEM;
D O I：
10.1016/j.nonrwa.2019.05.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study an asymptotic behavior of a solution to the outflow problem for a two-phase model with magnetic field. Our idea mainly comes from [1] and [2] which investigate the asymptotic stability and convergence rates of stationary solutions to the outflow problem for an isentropic Navier-Stokes equation. For the two-phase model with magnetic field, we also obtain the asymptotic stability and convergence rates of global solutions towards corresponding stationary solutions if the initial perturbation belongs to the weighted Sobolev space. The proof is based on the weighted energy method. (C) 2019 Elsevier Ltd. All rights reserved.
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收藏
页数：20
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