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.

Document Details

Document Type
Pub Defense Publication
Publication Date
Jul 27, 2016
Source ID
10.1002/mana.201500385

Entities

People

  • Alex Mahalov
  • Ryo Takada
  • Tsukasa Iwabuchi

Organizations

  • Air Force Office of Scientific Research
  • Arizona State University
  • Japan Society for the Promotion of Science
  • Osaka City University
  • Tohoku University

Tags

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Fluid Dynamics.
  • Mathematical Modeling and Probability Theory.