TY - JOUR
T1 - Global solutions for the incompressible rotating stably stratified fluids
AU - Iwabuchi, Tsukasa
AU - Mahalov, Alex
AU - Takada, Ryo
N1 - 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.
PY - 2017/3/1
Y1 - 2017/3/1
N2 - 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.
AB - 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.
KW - The rotating Boussinesq equations
KW - the Strichartz estimates
KW - the stable stratification
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U2 - 10.1002/mana.201500385
DO - 10.1002/mana.201500385
M3 - Article
AN - SCOPUS:84995777968
VL - 290
SP - 613
EP - 631
JO - Mathematische Nachrichten
JF - Mathematische Nachrichten
SN - 0025-584X
IS - 4
ER -