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math.AP2024
Generalization of 3D-NSE Global Weak Solution with damping
Mustapha Amara, Chaala Katar, Maroua Ltifi
In this paper, we prove the global existence, uniqueness and the continuity in of the incompressible Navier-Stokes equations with damping , where is an increasin…
math.AP2024
Global regularity of semi-critical case of anisotropic quasi-geostrophic equations in Sobolev spaces
Mustapha Amara
In this paper, we consider the following anisotropic quasi-geostrophic equations \begin{equation}\tag*{} \partial_tθ+ u_θ.\nablaθ+μ|\partial_1|^{2α}θ+ν|\partial_2|^{2β…