1 citations · 1 across the 2 of their papers we have counts for
4 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…