Vol. 207, No. 1, 2002
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Remark on the rate of decay of solutions to linearized compressible Navier–Stokes equations

Takayuki Kobayashi & Yoshihiro Shibata

Abstract

We consider the Lp − Lq estimates of solutions to the Cauchy problem of linearized compressible Navier–Stokes equation. Especially, we investigate the diffusion wave property of the compressible Navier–Stokes flows, which was studied by D. Hoff and K. Zumbrum and Tai-P. Liu and W. Wang.
Authors
Takayuki Kobayashi
Department of Mathematics
Kyushu Institute of Technology
1-1 Sensui-cho, Tobata-ku
Kitakyusyu 804-8550
Japan
Yoshihiro Shibata
Department of Mathematics
School of Science and Engineering
Waseda University
3-4-1 Ohkubo Shinjuku-ku
Tokyo 169-8555
Japan