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arXiv · 2201.08216

On the boundedness of the global solution of anisotropic quasi-geostrophic equations in Sobolev space

Mustapha Amara
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Abstract

In this paper, we show that the global solution of the surface anisotropic two-dimensional quasi-geostrophic equation with fractional horizontal dissipation and vertical thermal diffusion established by the author in [2] is bounded in Sobolev spaces uniformly with respect to time.

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Mustapha Amara. 2022-01-20. On the boundedness of the global solution of anisotropic quasi-geostrophic equations in Sobolev space. https://arxiv.org/abs/2201.08216

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