Universal attractor in H4 for the nonlinear one-dimensional compressible Navier-Stokes equations

被引：31
作者：
Qin, YM [1 ]
机构：
[1] Donghua Univ, Coll Sci, Dept Appl Math, Shanghai 200051, Peoples R China
[2] Henan Univ, Coll Math & Informat Sci, Inst Math, Dept Math, Kaifeng 475001, Peoples R China
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2004年 / 207卷 / 01期
关键词：
heat-conductive viscous real gas; exponential stability; absorbing set; C-0-semigroup; universal attractor;
D O I：
10.1016/j.jde.2004.08.022
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is concerned with the regularity, exponential stability of solutions and existence of universal attractor in H-4 for a nonlinear one-dimensional compressible Navier-Stokes equations describing a motion of heat-conductive viscous real gas in a bounded domain Omega = (0, 1). Some new ideas and more delicated estimates are introduced to prove these results. (C) 2004 Elsevier Inc. All rights reserved.
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页码：21 / 72
页数：52
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