### Abstract

We consider the equations of motion of compressible viscous and heat-conductive gases in an exterior domain in ℝ^{3}. 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 |

Publication status | Published - 1999 |

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### ASJC Scopus subject areas

- Mathematical Physics
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics

### Cite this

**Decay estimates of solutions for the equations of motion of compressible viscous and heat-conductive gases in an exterior domain in ℝ ^{3}
.** / Kobayashi, Takayuki; Shibata, Yoshihiro.

Research output: Contribution to journal › Article

^{3}',

*Communications in Mathematical Physics*, vol. 200, no. 3, pp. 621-659.

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TY - JOUR

T1 - Decay estimates of solutions for the equations of motion of compressible viscous and heat-conductive gases in an exterior domain in ℝ3

AU - Kobayashi, Takayuki

AU - Shibata, Yoshihiro

PY - 1999

Y1 - 1999

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.

UR - http://www.scopus.com/inward/record.url?scp=0033472764&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0033472764&partnerID=8YFLogxK

M3 - Article

VL - 200

SP - 621

EP - 659

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 3

ER -