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On Solutions of Three Quasi-Geostrophic Models

Analysis of PDEs 2007-05-23 v2

Abstract

We consider the 2D quasi-geostrophic model and its two different regularizations. Global regularity results are established for the regularized models with subcritical or 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 solutions of the quasi-geostrophic equation.

Keywords

Cite

@article{arxiv.math/0012068,
  title  = {On Solutions of Three Quasi-Geostrophic Models},
  author = {Jiahong Wu},
  journal= {arXiv preprint arXiv:math/0012068},
  year   = {2007}
}

Comments

22 pages