7 citations · 10 across the 8 of their papers we have counts for
9 papers
The optimal initial datum for a class of reaction-advection-diffusion equations
Omar Abdul Halim, Mohammad El Smaily
We consider a reaction-diffusion model with a drift term in a bounded domain. Given a time we prove the existence and uniqueness of an initial datum that maximizes the total m…
Speed Selection for Reaction Diffusion Equations in Heterogeneous Environments
Mohammad El Smaily, Chunhua Ou
Reaction-advection-diffusion equations, in periodic settings and with general type nonlinearities, admit a threshold known as the minimal speed of propagation. The minimal speed do…
Curved fronts in a shear flow: case of combustion nonlinearities
Mohammad El Smaily
We prove the existence and uniqueness, up to a shift in time, of curved traveling fronts for a reaction-advection-diffusion equation with a combustion-type nonlinearity. The advect…
A Leslie-Gower predator-prey model with a free boundary
Yunfeng Liu, Zhiming Guo, Mohammad El Smaily +1
In this paper, we consider a Leslie-Gower predator-prey model in one-dimensional environment. We study the asymptotic behavior of two species evolving in a domain with a free bound…
The non-monotonicity of the KPP speed with respect to diffusion in the presence of a shear flow
Mohammad El Smaily
In this paper, we prove via counterexamples that adding an advection term of the form Shear flow (whose streamlines are parallel to the direction of propagation) to a reaction-diff…
Asymptotics of the KPP minimal speed within large drift
Mohammad El Smaily, Stéphane Kirsch
This Note is concerned with the asymptotic behavior of the minimal KPP speed of propagation for reaction- advection-diffusion equations with a large drift Mq (where q is the advect…
Min-Max formulae for the speeds of pulsating travelling fronts in periodic excitable media
Mohammad El Smaily
This paper is concerned with some nonlinear propagation phenomena for reaction-advection-diffusion equations in a periodic framework. It deals with travelling wave solutions of the…
The speed of propagation for KPP reaction-diffusion equations within large drift
Mohammad El Smaily, Stephane Kirsch
This paper is devoted to the study of the asymptotic behaviors of the minimal speed of propagation of pulsating traveling fronts solving the Fisher-KPP reaction-advection-diffusion…
The homogenized equation of a heterogenous Reaction-Diffusion model involving pulsating traveling fronts
Mohammad El Smaily
The goal of this paper is to find the homogenized equation of a heterogenous Fisher-KPP model in a periodic medium. The solutions of this model are pulsating travelling fronts whos…