Global solution of anisotropic quasi-geostrophic equations in Sobolev space

In [9], the author proved the global existence of the two-dimensional anisotropic quasi-geostrophic equations with condition on the parameters α, β in the Sobolev spaces Hs(R2); s≥2. In this paper, we show that these equations have a global solution in the spaces Hs(R2), where max⁡{2−2α,2−2β}...

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2022-12, Vol.516 (1), p.126512, Article 126512
Main Authors: Amara, Mustapha, Benameur, Jamel
Format: Article
Language:English
Subjects:
Anisotropic dissipation
Global regularity
Surface quasi-geostrophic equation
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Summary:In [9], the author proved the global existence of the two-dimensional anisotropic quasi-geostrophic equations with condition on the parameters α, β in the Sobolev spaces Hs(R2); s≥2. In this paper, we show that these equations have a global solution in the spaces Hs(R2), where max⁡{2−2α,2−2β}
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2022.126512