Chaala Katar

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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 $L^{2}$ of the incompressible Navier-Stokes equations with damping $f (∣ u ∣) u$ , where $f$ is an increasin…

math.AP2021

Asymptotic study of a global solution of super-critical Quasi-Geostrophic equation

Chaala Katar

In this paper, we study the super-critical Quasi-Geostrophic equation in Gevrey-Sobolev space. We prove the local existence of $(QG)$ for any large initial data and we give an expo…

math.AP2021

Asymptotic study of supercritical surface Quasi-Geostrophic equation in critical space

Jamel Benameur, Chaala Katar

In this paper we prove, if $θ \in C ([0, \infty), H^{2 - 2 α} (R^{2}))$ is a global solution of supercritical surface Quasi-Geostrophic equation with small initial data, then $\|θ(t)…