Global solutions for the incompressible rotating stably stratified fluids

被引：17

作者：

Iwabuchi, Tsukasa ^{[1
]}

Mahalov, Alex ^{[2
]}

Takada, Ryo ^{[3
]}

机构：

[1] Osaka City Univ, Dept Math, Sumiyoshi Ku, 3-3-138 Sugimoto, Osaka 5588585, Japan

[2] Arizona State Univ, Sch Math & Stat Sci, POB 871804, Tempe, AZ 85287 USA

[3] Tohoku Univ, Math Inst, Sendai, Miyagi 9808578, Japan

来源：

MATHEMATISCHE NACHRICHTEN | 2017年 / 290卷 / 04期

关键词：

The rotating Boussinesq equations; the stable stratification; the Strichartz estimates; NAVIER-STOKES EQUATIONS; EULER EQUATIONS; VORTEX PATCHES; WELL-POSEDNESS; CONVERGENCE; ASYMPTOTICS; FRAMEWORK; SYSTEM;

D O I：

10.1002/mana.201500385

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the initial value problem of the 3D incompressible Boussinesq equations for rotating stratified fluids. We establish the dispersive and the Strichartz estimates for the linear propagator associated with both the rotation and the stable stratification. As an application, we give a simple proof of a unique existence of global in time solutions to our system using just a contraction mapping principle. (C) 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：613 / 631

页数：19

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