62 citations · 261 across the 45 of their papers we have counts for
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Rescaling method for blow-up solutions of nonlinear wave equations
Mondher Benjemaa, Aida Jrajria, Hatem Zaag
We develop a hybrid scheme based on a finite difference scheme and a rescaling technique to approximate the solution of nonlinear wave equation. In order to numerically reproduce t…
Construction of type I-Log blowup for the Keller-Segel system in dimensions and
V. T. Nguyen, N. Nouaili, H. Zaag
We construct finite time blowup solutions to the parabolic-elliptic Keller-Segel system $\partial_t u = Δu - \nabla \cdot (u \nabla \mathcal{K}_u), \quad -Δ\mathcal{K}_u = u \quad…
The blow-up rate for a loglog non-scaling invariant semilinear wave equation
Tristan Roy, Hatem Zaag
We consider blow-up solutions of a semilinear wave equation with a loglog perturbation of the power nonlinearity in the subconformal case, and show that the blow-up rate is given b…
Flat blow-up solutions for the complex Ginzburg Landau equation
Giao Ky Duong, Nejla Nouaili, Hatem Zaag
In this paper, we consider the complex Ginzburg-Landau equation The study…
Unsupervised physics-informed neural network in reaction-diffusion biology models (Ulcerative colitis and Crohn's disease cases) A preliminary study
Ahmed Rebai, Louay Boukhris, Radhi Toujani +6
We propose to explore the potential of physics-informed neural networks (PINNs) in solving a class of partial differential equations (PDEs) used to model the propagation of chronic…