Existence and regularity of rotating global solutions for the generalized surface quasi-geostrophic equations

By A. Castro, D. C'ordoba, Javier G'omez-Serrano. 2014

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Motivated by the recent work of Hassainia and Hmidi [Z. Hassainia, T. Hmidi - On the {V}-states for the generalized quasi-geostrophic equations,arXiv preprint arXiv:1405.0858], we close the question of the existence of convex global rotating solutions for the generalized surface quasi-geostrophic equation for $\alpha \in [1,2)$. We also show $C^{\infty}$ regularity of their boundary for all $\alpha \in (0,2)$.

Subfields: Applied Mathematics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/1e5d12fdb858753284faf0375c96cef1cd7db67d