Global Existence and Long-Time Asymptotics for Rotating Fluids in a 3D Layer

@article{Gallay2009GlobalEA,
  title={Global Existence and Long-Time Asymptotics for Rotating Fluids in a 3D Layer},
  author={Thierry Gallay and Violaine Roussier-Michon},
  journal={arXiv: Analysis of PDEs},
  year={2009}
}
Asymptotic limit of fast rotation for the incompressible Navier–Stokes equations in a 3D layer
We consider the initial value problem for the Navier–Stokes equation with the Coriolis force in a three-dimensional infinite layer. We prove the unique existence of global solutions for initial data
Vortices in stably-stratified rapidly rotating Boussinesq convection
We study the Boussinesq approximation for rapidly rotating stably-stratified fluids in a three dimensional infinite layer with either stress-free or periodic boundary conditions in the vertical
Global Axisymmetric Euler Flows with Rotation
We construct a class of global, dynamical solutions to the 3d Euler equations near the stationary state given by uniform “rigid body” rotation. These solutions are axisymmetric, of Sobolev

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