@article{109b837119f048aba0d69a6cf32bcbf9,
title = "Global solutions for the incompressible rotating stably stratified fluids",
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.",
keywords = "The rotating Boussinesq equations, the Strichartz estimates, the stable stratification",
author = "Tsukasa Iwabuchi and Alex Mahalov and Ryo Takada",
note = "Funding Information: The authors would like to express their thanks to Professor Yasunori Maekawa for valuable suggestions and fruitful discussions. T. Iwabuchi was supported by JSPS Grant-in-Aid for Young Scientists (B) #25800069. A. Mahalov was partially supported by AFOSR grant FA9550-15-1-0096. R. Takada was supported by JSPS Grait-in-Aid for Research Activity Start-up #25887005 and Grant-in-Aid for Young Scientists (A) #15H05436. Publisher Copyright: {\textcopyright} 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim",
year = "2017",
month = mar,
day = "1",
doi = "10.1002/mana.201500385",
language = "English (US)",
volume = "290",
pages = "613--631",
journal = "Mathematische Nachrichten",
issn = "0025-584X",
publisher = "Wiley-VCH Verlag",
number = "4",
}