Remark on the rate of decay of solutions to linearized compressible Navier-Stokes equations

Takayuki Kobayashi; Yoshihiro Shibata

doi:10.2140/pjm.2002.207.199

Remark on the rate of decay of solutions to linearized compressible Navier-Stokes equations

Takayuki Kobayashi^*, Yoshihiro Shibata

^*Corresponding author for this work

School of Fundamental Science and Engineering

Research output: Contribution to journal › Article › peer-review

37 Citations (Scopus)

Abstract

We consider the L_p-L_q 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.

Original language	English
Pages (from-to)	199-234
Number of pages	36
Journal	Pacific Journal of Mathematics
Volume	207
Issue number	1
DOIs	https://doi.org/10.2140/pjm.2002.207.199
Publication status	Published - 2002 Nov

ASJC Scopus subject areas

Mathematics(all)

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10.2140/pjm.2002.207.199

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title = "Remark on the rate of decay of solutions to linearized compressible Navier-Stokes equations",

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.",

author = "Takayuki Kobayashi and Yoshihiro Shibata",

year = "2002",

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AB - 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.

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Remark on the rate of decay of solutions to linearized compressible Navier-Stokes equations

Abstract

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