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

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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 Ye in (Non-linearity 33(1): 72, 2019) is bounded in Sobolev spaces uniformly with respect to time.

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  1. Department of Mathematics, Faculty of Science of Gabès, Research Laboratory Mathematics and Applications, Gabés, LR17ES11, Tunisia

    Mustapha Amara

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  1. Mustapha Amara
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Correspondence to Mustapha Amara.

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Amara, M. On the boundedness of the global solution of anisotropic quasi-geostrophic equations in Sobolev space. Rend. Circ. Mat. Palermo, II. Ser 72, 3789–3800 (2023). https://doi.org/10.1007/s12215-022-00851-7

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  • DOI: https://doi.org/10.1007/s12215-022-00851-7

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