2 citations · 4 across the 6 of their papers we have counts for
13 papers
Localisation of perturbations of a constant state in a traffic flow model
Tej-Eddine Ghoul, Nader Masmoudi, Eliot Pacherie
We consider, in the Aw-Rascle-Zhang traffic flow model, the problem of the asymptotic stability of constant flows. By using a perturbative approach, we show the stability in a larg…
Collapsing-ring blowup solutions for the Keller-Segel system in three dimensions and higher
Charles Collot, Tej-Eddine Ghoul, Nader Masmoudi +1
We consider the parabolic-elliptic Keller-Segel system in three dimensions and higher, corresponding to the mass supercritical case. We construct rigorously a solution which blows…
Blowup solutions for the shadow limit model of singular Gierer-Meinhardt system with critical parameters
G. K. Duong, T. E. Ghoul, N. I. Kavallaris +1
We consider a nonlocal parabolic PDE, which may be regarded as the standard semilinear heat equation with power nonlinearity, where the nonlinear term is divided by some Sobolev no…
Refined description and stability for singular solutions of the 2D Keller-Segel system
Charles Collot, Tej-Eddine Ghoul, Nader Masmoudi +1
We construct solutions to the two dimensional parabolic-elliptic Keller-Segel model for chemotaxis that blow up in finite time . The solution is decomposed as the sum of a stati…
Spectral analysis for singularity formation of the two dimensional Keller-Segel system
Charles Collot, Tej-Eddine Ghoul, Nader Masmoudi +1
We analyse an operator arising in the description of singular solutions to the two-dimensional Keller-Segel problem. It corresponds to the linearised operator in parabolic self-sim…
On the Stability of Self-similar Blow-up for Solutions to the Incompressible Euler Equations on
Tarek M. Elgindi, Tej-Eddine Ghoul, Nader Masmoudi
We study the stability of recently constructed self-similar blow-up solutions to the incompressible Euler equation. A consequence of our work is the existence of finite-energy $C^{…