Lotfi Jlali

collaborators

3 papers

math.AP2023

Higher order evolution inequalities with Hardy potential in the exterior of a half-ball

Lotfi Jlali, Bessem Samet

We consider semilinear higher order (in time) evolution inequalities posed in an exterior domain of the half-space $R_{+}^{N}$ , $N \geq 2$ , and involving differential operators…

math.AP2015

Long time decay of 3D-NSE in Lei-Lin-Gevrey spaces

Jamel Benameur, Lotfi Jlali

In this paper, we prove that there exists a unique global solution of $3 D$ Navier-Stokes equation if $exp (a ∣ D ∣^{1/ σ}) u^{0} \in X^{- 1} (R^{3})$ and $\|u^0\|_{\mathcal{…

math.AP2015

Long time decay for 3D-NSE in Gevrey-Sobolev spaces

Jamel Benameur, Lotfi Jlali

In this paper we prove, if $u$ is a global solution to Navier-Stokes equations in the Sobolev-Gevrey spaces $H_{a, σ}^{1} (R^{3})$ , then $∥ u (t) ∥_{H_{a, σ}^{1}}$ decays to zero as…