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

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Abstract:

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.

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Authors and Affiliations

  1. Department of Mathematics, Stanford University, Stanford, CA94305, USA, , , , , , US

    Tai-Ping Liu

  2. Department of Mathematics, Wuhan University, Wuhan 430072, China, , , , , , CN

    Weike Wang

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  1. Tai-Ping Liu
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  2. Weike Wang
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Received: 23 June 1997 / Accepted: 19 January 1998

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Liu, TP., Wang, W. The Pointwise Estimates of Diffusion Wave for the Navier–Stokes Systems in Odd Multi-Dimensions . Comm Math Phys 196, 145–173 (1998). https://doi.org/10.1007/s002200050418

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  • DOI: https://doi.org/10.1007/s002200050418

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