62 citations · 261 across the 45 of their papers we have counts for
4 papers · 1 filter
Diffusion-induced blowup solutions for the shadow limit model of a singular Gierer-Meinhardt system
G. Ky Duong, Nikos I. Kavallaris, Hatem Zaag
In the current paper, we provide a thorough investigation of the blowing up behaviour induced via diffusion of the solution of the following non local problem \begin{equation*} \le…
Single point blow-up and final profile for a perturbed nonlinear heat equation with a gradient and a non-local term
Bouthaina Abdelhedi, Hatem Zaag
We consider in this paper a perturbation of the standard semilinear heat equation by a term involving the space derivative and a non-local term. In some earlier work (Abdelhedi-Zaa…
Discontinuous Galerkin method for blow-up solutions of nonlinear 1D wave equations
Asma Azaiez, Mondher Benjemaa, Aida Jrajria +1
We develop and study a time-space discrete discontinuous Galerkin finite elements method to approximate the solution of one-dimensional nonlinear wave equations. We show that the n…
A Turing mechanism in order to explain the patchy nature of Crohn's disease
Grégoire Nadin, Eric Ogier-Denis, Ana Isis Toledo +1
Crohn's disease is an inflammatory bowel disease (IBD) that is not well understood. In particular, unlike other IBDs, the inflamed parts of the intestine compromise deep layers of…