The Pointwise Estimates of Diffusion Wave for the Navier-Stokes Systems in Odd Multi-Dimensions

• DOI: 10.1007/s002200050418
• Publication Date: 2002-08-25T03:47:25Z
• Authors: Tai-Ping Liu; Weike Wang
• Keywords: Pointwise; Complex system; Isentropic process

We study the dissipation of solutions of the isentropic Navier–Stokes equations in odd multi-dimensions. Pointwise estimates of the time-asymptotic shape of the solutions are obtained and shown to exhibit the generalized Huygen's principle. Our approach is based on the detailed analysis of the Green function of the linearized system. This is used to study the coupling of nonlinear diffusion waves.