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Initial boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids

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Abstract

The equations of motion of compressible viscous and heat-conductive fluids are investigated for initial boundary value problems on the half space and on the exterior domain of any bounded region. The global solution in time is proved to exist uniquely and approach the stationary state ast→∞, provided the prescribed initial data and the external force are sufficiently small.

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Authors and Affiliations

  1. Department of Applied Mathematics and Physics, Kyoto University, 606, Kyoto, Japan

    Akitaka Matsumura

  2. Department of Mathematics, Kyoto University, 606, Kyoto, Japan

    Takaaki Nishida

Authors
  1. Akitaka Matsumura
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  2. Takaaki Nishida
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Communicated by J. Glimm

Both authors are partially supported by the University of Wisconsin-Madison, Mathematics Research Center

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Matsumura, A., Nishida, T. Initial boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids. Commun.Math. Phys. 89, 445–464 (1983). https://doi.org/10.1007/BF01214738

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  • DOI: https://doi.org/10.1007/BF01214738

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