Asymptotic behavior of short trajectories to nonhomogeneous heat-conducting magnetohydrodynamic equations

被引：0
作者：
Han, Pigong [1 ,2 ]
Lei, Keke [1 ,2 ]
Liu, Chenggang [3 ]
Wang, Xuewen [1 ,2 ]
机构：
[1] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
[2] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
[3] Zhongnan Univ Econ & Law, Sch Stat & Math, Wuhan 430073, Peoples R China
来源：
DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS | 2022年 / 19卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Incompressible heat-conducting flows; asymptotic behavior; nonhomogeneous; short trajectories; NAVIER-STOKES FLOWS; SPATIAL DECAYS; WEAK SOLUTIONS; ATTRACTORS; SYSTEM;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the asymptotic behavior of short trajectories of weak solutions to the 2D nonhomogeneous heat-conducting magneto-hydrodynamic equations. Several bounds for short trajectories are obtained. An attracting set is constructed, which consists of orbits on [0, 1] of complete bounded solutions. Furthermore, the attracting set is compact in different topologies.
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页码：207 / 224
页数：18
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