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

2022/01/20 by Mustapha Amara, Amara, Mustapha
Mathematics · #Navier-Stokes equation solutions #Advanced Mathematical Physics Problems #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2201.08216

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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