非均匀导热磁流体动力学方程短轨迹的渐近行为

IF 1.1 3区数学 Q2 MATHEMATICS, APPLIED

Dynamics of Partial Differential Equations Pub Date : 2022-01-01 DOI:10.4310/dpde.2022.v19.n3.a3

P. Han, Keke Lei, Chenggang Liu, Xuewen Wang

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引用次数: 1

摘要

．本文研究了二维非均匀导热磁流体动力学方程弱解短轨迹的渐近性质。得到了短轨迹的几个界。构造了一个吸引集，它由完全有界解在[0,1]上的轨道组成。此外，在不同的拓扑结构下，吸引集是紧致的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

. 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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来源期刊

Dynamics of Partial Differential Equations 数学-应用数学

CiteScore

2.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Publishes novel results in the areas of partial differential equations and dynamical systems in general, with priority given to dynamical system theory or dynamical aspects of partial differential equations.