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 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.
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Communicated by P. Constantin
Partially supported by BFM2002-02269 grant.
Partially supported by BFM2002-02042 grant.
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Córdoba, A., Córdoba, D. A Maximum Principle Applied to Quasi-Geostrophic Equations. Commun. Math. Phys. 249, 511–528 (2004). https://doi.org/10.1007/s00220-004-1055-1
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DOI: https://doi.org/10.1007/s00220-004-1055-1