关于粘性热传导流体可压缩Navier-Stokes方程的最大吸引子的注记

数学季刊 ›› 2004, Vol. 19 ›› Issue (4): 338-345.

关于粘性热传导流体可压缩Navier-Stokes方程的最大吸引子的注记

Remarks on Maximal Attractors for the Compressible Navier-Stokes Equations of Viscous and Heat Conductive FluidQIN Yu-ming, WANG Xiu-qin, CUI Guo-zhong(l. College, of Mathematics and Information Science, Henan University, Kaifeng 475001, China; 2. College of Science,, University of Information and Engineering, Zhengzhou 450001, China

收稿日期:2004-08-02 出版日期:2004-12-30 发布日期:2024-02-29
作者简介:QIN Yu-ming(1963-),male,native of Jiaozuo,Henan,a chair professor and an advisor for graduate students from Henan University,engages in nonlinear PDEs.
基金资助:
SupportedinpartbytheGrantsofProminentYouth(0412000100) SupportedbyYoungKeyTeachersfromHenanProvince(0412000100) SupportedbyaGrantfromHenanUniversity(XK02071)；

Remarks on Maximal Attractors for the Compressible Navier-Stokes Equations of Viscous and Heat Conductive Fluid

Remarks on Maximal Attractors for the Compressible Navier-Stokes Equations of Viscous and Heat Conductive FluidQIN Yu-ming, WANG Xiu-qin, CUI Guo-zhong(l. College, of Mathematics and Information Science, Henan University, Kaifeng 475001, China; 2. College of Science,, University of Information and Engineering, Zhengzhou 450001, China

Received:2004-08-02 Online:2004-12-30 Published:2024-02-29
About author:QIN Yu-ming(1963-),male,native of Jiaozuo,Henan,a chair professor and an advisor for graduate students from Henan University,engages in nonlinear PDEs.
Supported by:
SupportedinpartbytheGrantsofProminentYouth(0412000100) SupportedbyYoungKeyTeachersfromHenanProvince(0412000100) SupportedbyaGrantfromHenanUniversity(XK02071)；

摘要/Abstract

摘要： This paper is concerned with the existence of maximal attractors in Hⁱ (i = 1, 2,4) for the compressible Navier-Stokes equations for a polytropic viscous heat conductive ideal gas in bounded annular domains Ωn in Rⁿ(n = 2,3).

关键词: compressible , Navier-Stokes , equations;polytropic , viscous , ideal , gas;spherically symmetric , solutions;absorbing , set;maximal , attractor

Abstract: This paper is concerned with the existence of maximal attractors in Hⁱ (i = 1, 2,4) for the compressible Navier-Stokes equations for a polytropic viscous heat conductive ideal gas in bounded annular domains Ωn in Rⁿ(n = 2,3).

Key words: compressible , Navier-Stokes , equations;polytropic , viscous , ideal , gas;spherically symmetric , solutions;absorbing , set;maximal , attractor

中图分类号:

O175.29

秦玉明, 王秀琴, 崔国忠. 关于粘性热传导流体可压缩Navier-Stokes方程的最大吸引子的注记[J]. 数学季刊, 2004, 19(4): 338-345.

QIN Yu-ming, WANG Xiu-qin, CUI Guo-zhong. Remarks on Maximal Attractors for the Compressible Navier-Stokes Equations of Viscous and Heat Conductive Fluid[J]. Chinese Quarterly Journal of Mathematics, 2004, 19(4): 338-345.

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