POINTWISE ESTIMATE OF SOLUTIONS OF ISENTROPIC NMIER-STOKES EQUATIONS IN EVEN SPACE-DIMENSIONS |
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| Authors: | Xu Hongmei Wang Weike |
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| Institution: | Xu Hongmei, Wang Weike Department of Mathematics,Wuhan University,Wuhan 430072,China |
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| 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 Iinearized system. This is used to study the coupling of nonlinear diffesion waves. |
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| Keywords: | Isentropic Navier-Stokes equation multi-dimensions Green's function pointwise estimate |
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