Dispersive estimates for the stably stratified boussinesq equations

Sanghyuk Lee, Ryo Takada

研究成果: Contribution to journalArticle査読

6 被引用数 (Scopus)

抄録

We consider the initial value problem for the 3D Boussinesq equations for stably stratified fluids without the rotational effect. We establish the sharp dispersive estimate for the linear propagator related to the stable stratification. As an application, we give the explicit relation between the size of initial data and the buoyancy frequency which ensures the unique existence of global solutions to our system. In particular, it is shown that the size of the initial thermal disturbance can be taken in proportion to the strength of stratification.

本文言語英語
ページ(範囲)2037-2070
ページ数34
ジャーナルIndiana University Mathematics Journal
66
6
DOI
出版ステータス出版済み - 1 1 2017

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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