Asymptotics for the rotating fluids and primitive systems with large ill-prepared initial data in critical spaces

IF 0.8 Q2 MATHEMATICS Tunisian Journal of Mathematics Pub Date : 2022-04-12 DOI:10.2140/tunis.2023.5.171
Frédéric Charve
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引用次数: 1

Abstract

In this article we study the lifespan and asymptotics (in the large rotation and stratification regime) for the Primitive system for highly ill-prepared initial data in critical spaces. Compared to our previous works, we simplified the proof and made it adaptable to the Rotating fluids system with highly ill-prepared initial data decomposed as a sum of 2D horizontal part and a very large 3D part. We also provide explicit convergence rates.
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临界空间中初始数据不充分的旋转流体和原始系统的渐近性
在本文中,我们研究了原始系统的寿命和渐近性(在大旋转和分层状态下)对于临界空间中高度准备不足的初始数据。与我们以前的工作相比,我们简化了证明,使其适用于旋转流体系统,初始数据分解为二维水平部分和非常大的三维部分的总和。我们还提供了明确的收敛率。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Tunisian Journal of Mathematics
Tunisian Journal of Mathematics Mathematics-Mathematics (all)
CiteScore
1.70
自引率
0.00%
发文量
12
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