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Global Existence and Large Time Behavior for the 2-D Compressible Navier-Stokes Equations without Heat Conductivity

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  • Shuofa Xiao
  • Haiyan Xu
  • Chun Gang Zhu

Abstract

In this paper, we consider an initial value problem for the 2-D compressible Navier-Stokes equations without heat conductivity. We prove the global existence of a strong solution when the initial perturbation is small in H2 and its L1 norm is bounded. Moreover, we derive some decay estimate for such a solution.

Suggested Citation

  • Shuofa Xiao & Haiyan Xu & Chun Gang Zhu, 2023. "Global Existence and Large Time Behavior for the 2-D Compressible Navier-Stokes Equations without Heat Conductivity," Abstract and Applied Analysis, Hindawi, vol. 2023, pages 1-9, May.
    • Handle: RePEc:hin:jnlaaa:2986348
    DOI: 10.1155/2023/2986348
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