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.
| Original language | English |
|---|---|
| Pages (from-to) | 613-631 |
| Number of pages | 19 |
| Journal | Mathematische Nachrichten |
| Volume | 290 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2017 Mar 1 |
Keywords
- The rotating Boussinesq equations
- the Strichartz estimates
- the stable stratification
ASJC Scopus subject areas
- Mathematics(all)
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Iwabuchi, T., Mahalov, A., & Takada, R. (2017). Global solutions for the incompressible rotating stably stratified fluids. Mathematische Nachrichten, 290(4), 613-631. https://doi.org/10.1002/mana.201500385