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

Jiafa Xu, Lishan Liu and Dimitri Mugnai

Journal of Mathematics, 2021, vol. 2021, 1-7

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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:5541403

DOI: 10.1155/2021/5541403

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