Chinese Quarterly Journal of Mathematics ›› 2004, Vol. 19 ›› Issue (4): 338-345.

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

  

  1. 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);

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

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