Global solutions for the incompressible rotating stably stratified fluids. Issue 4 (27th July 2016)

• Record Type: Journal Article
• Authors: Iwabuchi, Tsukasa; Mahalov, Alex; Takada, Ryo
• Is Part Of: Mathematische Nachrichten. Volume 290:Issue 4(2017)
• Page Start: 613
• Page End: 631
• Publication Date: 2016-07-27
• Subjects: The rotating Boussinesq equations -- the stable stratification -- the Strichartz estimates -- 76D03 -- 76D50; Mathematics -- Periodicals; 510.5
• DOI: 10.1002/mana.201500385
• Languages: English
• ISSNs: 0025-584X

Abstract

Abstract : 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.