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Global Strong Solution to the Two-Dimensional Full Compressible Navier–Stokes Equations with Large Viscosity

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Abstract

In this paper, we consider the initial-boundary value problem for the full compressible Navier–Stokes equations on the square domain. We show the global existence of the strong solution with vacuum if the coefficient of viscosity \(\mu \) is suitably large. Moreover, an exponential decay rate of the strong solution is obtained.

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Acknowledgements

This work is supported partially by Chinese National Natural Science Foundation under Grant 11831011 and by China Postdoctoral Science Foundation under Grant 2021M692089.

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Authors and Affiliations

  1. School of Mathematical Sciences, Fudan University, Shanghai, 200433, People’s Republic of China

    Hao Li

  2. School of Finance, Shanghai Lixin University of Accounting and Finance, Shanghai, 201209, People’s Republic of China

    Zhaoyang Shang

  3. School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai, 200240, People’s Republic of China

    Zhaoyang Shang

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  1. Hao Li
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Communicated by T. Nishida.

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Li, H., Shang, Z. Global Strong Solution to the Two-Dimensional Full Compressible Navier–Stokes Equations with Large Viscosity. J. Math. Fluid Mech. 24, 7 (2022). https://doi.org/10.1007/s00021-021-00641-8

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