Long time solutions for the 2D inviscid Boussinesq equations with strong stratification

研究成果: Contribution to journalArticle査読

抄録

We consider the initial value problem of the 2D inviscid Boussinesq equations for stably stratified fluids. We prove the long time existence of classical solutions for large initial data in Hs(R2) with s> 2 when the buoyancy frequency is sufficiently high. Furthermore, we consider the singular limit of the strong stratification, and show that the asymptotic profile of the long time solution is given by the corresponding linear dispersive solution.

本文言語英語
ページ(範囲)223-250
ページ数28
ジャーナルManuscripta Mathematica
164
1-2
DOI
出版ステータス出版済み - 1 2021

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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