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of 24
pro vyhledávání: '"Smaily, Mohammad El"'
We study the eigenvalue problem involving the mixed local-nonlocal operator $ L:= -\Delta +(-\Delta)^{s}+q\cdot\nabla$~ in a bounded domain $\Omega\subset\R^N,$ where a Dirichlet condition is posed on $\R^N\setminus\Omega.$ The field $q$ stands for a
Externí odkaz:
http://arxiv.org/abs/2406.19577
In this paper, we consider an elliptic problem driven by a mixed local-nonlocal operator with drift and subject to nonlocal Neumann condition. We prove the existence and uniqueness of a solution $u\in W^{2,p}(\Omega)$ of the considered problem with $
Externí odkaz:
http://arxiv.org/abs/2406.19572
Autor:
Halim, Omar Abdul, Smaily, Mohammad El
This paper is concerned with an integral equation that models discrete time dynamics of a population in a patchy landscape. The patches in the domain are reflected through the discontinuity of the kernel of the integral operator at a finite number of
Externí odkaz:
http://arxiv.org/abs/2207.12277
Autor:
Halim, Omar Abdul, Smaily, Mohammad El
Publikováno v:
Nonlinear Analysis, Volume 221, 2022, 112877
We consider a reaction-diffusion model with a drift term in a bounded domain. Given a time $T,$ we prove the existence and uniqueness of an initial datum that maximizes the total mass $\textstyle{\int_\Omega u(T,x)\mathrm{d}x}$ in the presence of an
Externí odkaz:
http://arxiv.org/abs/2202.10714
Publikováno v:
Journal of Biological Dynamics, (2020) 14:1, 515-542
Scientists have been seeking ways to use Wolbachia to eliminate the mosquitoes that spread human diseases. Could Wolbachia be the determining factor in controlling the mosquito-borne infectious diseases? To answer this question mathematically, we dev
Externí odkaz:
http://arxiv.org/abs/2006.04073
Autor:
Smaily, Mohammad El, Ou, Chunhua
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 does not have an accessible formula when the nonlinearity is not of KPP
Externí odkaz:
http://arxiv.org/abs/2001.05696
Autor:
Smaily, Mohammad El
Publikováno v:
Nonlinearity, Volume 31, Number 12, 2018
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 advection is through a shear flow $q$. This analyzes, for instance, the shap
Externí odkaz:
http://arxiv.org/abs/1809.03963
Publikováno v:
Discrete and Continuous Dynamical Systems-S, 12, 7 (2019)
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 boundary. Sufficient conditions for spreading success and spreading failure
Externí odkaz:
http://arxiv.org/abs/1806.06027
Publikováno v:
Nonlinear Differ. Equ. Appl. (2018) 25: 15
We improve on recent results that establish the existence of solutions of certain semilinear wave equations possessing an interface that roughly sweeps out a timelike surface of vanishing mean curvature in Minkowski space. Compared to earlier work, w
Externí odkaz:
http://arxiv.org/abs/1708.06804
Autor:
Smaily, Mohammad El, Kirsch, Stéphane
Publikováno v:
Archive for Rational Mechanics and Analysis, 213, Issue 1 (2014), Page 327-354
We study, in dimensions $N\geq 3$, the family of first integrals of an incompressible flow: these are $H^{1}_{loc}$ functions whose level surfaces are tangent to the streamlines of the advective incompressible field. One main motivation for this stud
Externí odkaz:
http://arxiv.org/abs/1307.4106