Decay estimates of solutions for the equations of motion of compressible viscous and heat-conductive gases in an exterior domain in ℝ3

Takayuki Kobayashi; Yoshihiro Shibata

doi:10.1007/s002200050543

Decay estimates of solutions for the equations of motion of compressible viscous and heat-conductive gases in an exterior domain in ℝ³

Takayuki Kobayashi^*, Yoshihiro Shibata

^*Corresponding author for this work

School of Fundamental Science and Engineering

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

174 Citations (Scopus)

Abstract

We consider the equations of motion of compressible viscous and heat-conductive gases in an exterior domain in ℝ³. We give the L_q-L_p estimates for solutions to the linearized equations and show an optimal decay estimate for solutions to the non-linear problem.

Original language	English
Pages (from-to)	621-659
Number of pages	39
Journal	Communications in Mathematical Physics
Volume	200
Issue number	3
DOIs	https://doi.org/10.1007/s002200050543
Publication status	Published - 1999 Jan 1

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s002200050543

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title = "Decay estimates of solutions for the equations of motion of compressible viscous and heat-conductive gases in an exterior domain in ℝ3",

abstract = "We consider the equations of motion of compressible viscous and heat-conductive gases in an exterior domain in ℝ3. We give the Lq-Lp estimates for solutions to the linearized equations and show an optimal decay estimate for solutions to the non-linear problem.",

author = "Takayuki Kobayashi and Yoshihiro Shibata",

year = "1999",

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N2 - We consider the equations of motion of compressible viscous and heat-conductive gases in an exterior domain in ℝ3. We give the Lq-Lp estimates for solutions to the linearized equations and show an optimal decay estimate for solutions to the non-linear problem.

AB - We consider the equations of motion of compressible viscous and heat-conductive gases in an exterior domain in ℝ3. We give the Lq-Lp estimates for solutions to the linearized equations and show an optimal decay estimate for solutions to the non-linear problem.

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Decay estimates of solutions for the equations of motion of compressible viscous and heat-conductive gases in an exterior domain in ℝ³

Abstract

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