Acta mathematica scientia,Series B ›› 2001, Vol. 21 ›› Issue (3): 417-427.

• Articles • Previous Articles     Next Articles

POINTWISE ESTIMATE OF SOLUTIONS OF ISENTROPIC NAVIER-STOKES EQUATIONS IN EVEN SPACE-DIMENSIONS

 XU Hong-Mei, WANG Wei-Ke   

  1. Department of Mathematics, Wuhan University, Wuhan 430072, China
  • Online:2001-07-06 Published:2001-07-06
  • Supported by:

    Supported in part by National Natural Science Foundation of China (19871065) and Hua-Cheng Grant

Abstract:

This paper is concerned with the dissipation of solutions of the isentropic Navier-Stokes equations in even and bigger than two multi-dimensions. Pointwise estimates of the time-asymptotic shape of the solutions are obtained and the generalized Huygan’s principle is exhibited. The approch of the paper is based on the detailed analysis of the Green function of linearized system. This is used to study the coupling of nonlinear diffusion waves.

Key words: Isentropic Navier-Stokes equation, multi-dimensions, Greens function,pointwise estimate

CLC Number: 

  • 35K
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