We study the 2D surface quasi-geostrophic equation for thermal active scalars, that is an equation arising in the study of fast rotating fluids. This equation is a model problem for the 3D Euler equation. We consider the problem of convergence of solutions of the viscous problem to the ones of the inviscid problem. We also consider the long time behavior and we discuss the various kind of attractors that make sense for the quasi-geostrophic equation.
Vanishing viscosity limits and long-time behavior for 2D quasi-geostrophic equations
BERSELLI, LUIGI CARLO
2002-01-01
Abstract
We study the 2D surface quasi-geostrophic equation for thermal active scalars, that is an equation arising in the study of fast rotating fluids. This equation is a model problem for the 3D Euler equation. We consider the problem of convergence of solutions of the viscous problem to the ones of the inviscid problem. We also consider the long time behavior and we discuss the various kind of attractors that make sense for the quasi-geostrophic equation.File in questo prodotto:
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