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On the Existence of Long-Time Classical Solutions for the 2D Inviscid Boussinesq Equations

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  • Jiafa Xu
  • Lishan Liu
  • Dimitri Mugnai

Abstract

In this paper, we consider the Cauchy problem for the 2D inviscid Boussinesq equations with N being the buoyancy frequency. It is proved that for general initial data u0∈Hs with s>3, the life span of the classical solutions satisfies T>Cln  N3/4.

Suggested Citation

  • Jiafa Xu & Lishan Liu & Dimitri Mugnai, 2021. "On the Existence of Long-Time Classical Solutions for the 2D Inviscid Boussinesq Equations," Journal of Mathematics, Hindawi, vol. 2021, pages 1-7, June.
    • Handle: RePEc:hin:jjmath:5541403
    DOI: 10.1155/2021/5541403
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