Strongly Stratified Limit for the 3D Inviscid Boussinesq Equations

Ryo Takada

    Research output: Contribution to journalArticlepeer-review

    9 Citations (Scopus)

    Abstract

    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.

    Original languageEnglish
    Pages (from-to)1475-1503
    Number of pages29
    JournalArchive for Rational Mechanics and Analysis
    Volume232
    Issue number3
    DOIs
    Publication statusPublished - Jun 3 2019

    All Science Journal Classification (ASJC) codes

    • Analysis
    • Mathematics (miscellaneous)
    • Mechanical Engineering

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