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arXiv · 1911.08210

Global large, smooth solutions of the 2D surface quasi-geostrophic equations

Huali Zhang·Jinlu Li
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Abstract

In this paper, we prove the global regularity of smooth solutions to 2D surface quasi-geostrophic (SQG) equations with super-critical dissipation for a class of large initial data, where the velocity and temperature can be arbitrarily large in spaces $L^\infty(\mathbb{R}^2)$ and $H^3(\mathbb{R}^2)$. This result could be seen as an improvement work of Liu-Pan-Wu \cite{Liu}, for it's without any smallness hypothesis of the $L^\infty(\mathbb{R}^2)$ norm of the initial data.

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Huali Zhang, Jinlu Li. 2019-11-19. Global large, smooth solutions of the 2D surface quasi-geostrophic equations. https://doi.org/10.1002/mma.7392

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