Strongly Stratified Limit for the 3D Inviscid Boussinesq Equations

研究成果: Contribution to journalArticle査読

3 被引用数 (Scopus)

抄録

We consider the initial value problem of the 3D inviscid Boussinesq equations for stably stratified fluids. We prove the long time existence of classical solutions for large initial data when the buoyancy frequency is sufficiently high. Furthermore, we consider the singular limit of the strong stratification, and show that the long time classical solution converges to that of 2D incompressible Euler equations in some space-time Strichartz norms.

本文言語英語
ページ(範囲)1475-1503
ページ数29
ジャーナルArchive for Rational Mechanics and Analysis
232
3
DOI
出版ステータス出版済み - 6 3 2019

All Science Journal Classification (ASJC) codes

  • Analysis
  • Mathematics (miscellaneous)
  • Mechanical Engineering

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