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Global solutions for the incompressible rotating stably stratified fluids
Author(s) -
Iwabuchi Tsukasa,
Mahalov Alex,
Takada Ryo
Publication year - 2017
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201500385
Subject(s) - mathematics , compressibility , stratification (seeds) , contraction (grammar) , mathematical analysis , rotation (mathematics) , propagator , mechanics , geometry , mathematical physics , physics , medicine , seed dormancy , germination , botany , dormancy , biology
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.