A Maximum Principle Applied to Quasi-Geostrophic Equations
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- Córdoba, A. & Córdoba, D. Commun. Math. Phys. (2004) 249: 511. doi:10.1007/s00220-004-1055-1
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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 Lp-norms and asymptotic behavior of viscosity solution in the critical case. Our proofs are based on a maximum principle valid for more general flows.