Lotfi Jlali

activity

20152026

most citedOn the blow up criterion of 3D-NSE in Sobolev-Gevrey spaces

21 citations · 21 across the 3 of their papers we have counts for

collaborators

5 papers

math.AP2026

Blow-Up of Modified Navier--Stokes Equations in Nonhomogeneous Fourier Spaces

Jamel Benameur, Lotfi Jlali

We study the three-dimensional incompressible Navier--Stokes equations with a componentwise nonlinear damping term of the form $α \sum_{k = 1}^{3} u_{k}^{2 m + 1} e_{k}$ in Fourier and Fourier-…

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…

math.AP2015★ 21 cited

On the blow up criterion of 3D-NSE in Sobolev-Gevrey spaces

Jamel Benameur, Lotfi Jlali

In \cite{JB1}, Benameur proved a blow-up result of the non regular solution of $(N S E)$ in the Sobolev-Gevrey spaces. In this paper we improve this result, precisely we give an expo…