Communications in Mathematical Physics

, Volume 200, Issue 3, pp 621–659 | Cite as

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


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 nonlinear problem.


Nonlinear Problem Decay Estimate Exterior Domain Optimal Decay Estimate 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Takayuki Kobayashi
    • 1
  • Yoshihiro Shibata
    • 2
  1. 1.Institute of Mathematics, University of Tsukuba, Tsukuba-shi, Ibaraki 305-8571, Japan.¶E-mail:
  2. 2.Department of Mathematics, School of Science and Engineering, Waseda University, 3-4-1 Ohkubo, Shinjyuku-ku, Tokyo 169-8555, Japan. E-mail:

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