The Quasi-geostrophic Equation and Its Two Regularizations

Abstract

We consider the quasi-geostrophic model and its two different regularizations. Global regularity results are established for the regularized models with critical or sub-critical indices. The proof of Onsager’s conjecture concerning weak solutions of the 3D Euler equations and the notion of dissipative solutions of Duchon and Robert are extended to weak… (More)

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