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The 3D non-isentropic compressible Euler equations with damping in a bounded domain

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Abstract

The authors investigate the global existence and asymptotic behavior of classical solutions to the 3D non-isentropic compressible Euler equations with damping on a bounded domain with slip boundary condition. The global existence and uniqueness of classical solutions are obtained when the initial data are near an equilibrium. Furthermore, the exponential convergence rates of the pressure and velocity are also proved by delicate energy methods.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Hunan Institute of Science and Technology, Yueyang 414006, Hunan, China

    Yinghui Zhang

  2. Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China

    Guochun Wu

Authors
  1. Yinghui Zhang
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  2. Guochun Wu
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Corresponding author

Correspondence to Yinghui Zhang.

Additional information

This work was supported by the National Natural Science Foundation of China (Nos. 11301172, 11226170, 11571280) and the Scientific Research Fund of Hunan Provincial Education Department (No. 14B077).

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Zhang, Y., Wu, G. The 3D non-isentropic compressible Euler equations with damping in a bounded domain. Chin. Ann. Math. Ser. B 37, 915–928 (2016). https://doi.org/10.1007/s11401-016-1039-4

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  • DOI: https://doi.org/10.1007/s11401-016-1039-4

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