, Volume 249, Issue 3, pp 511-528
Date: 16 Mar 2004

A Maximum Principle Applied to Quasi-Geostrophic Equations

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Abstract

We study the initial value problem for dissipative 2D Quasi-geostrophic equations proving local existence, global results for small initial data in the super-critical case, decay of L p -norms and asymptotic behavior of viscosity solution in the critical case. Our proofs are based on a maximum principle valid for more general flows.

Communicated by P. Constantin
Partially supported by BFM2002-02269 grant.
Partially supported by BFM2002-02042 grant.