Results 121 to 130 of about 36,953 (196)

Remarks on the quenching estimate for a nonlocal diffusion problem with a reaction term

Journal of Numerical Analysis and Approximation Theory, 2012
In this paper, we address the following initial value problem\[\begin{array}{ll}\hbox{\(u_t=\int_{\Omega}J(x-y)(u(y, t)-u(x, t)){\rm d}y+f(u(x, t))\quad \mbox{in}\quad \overline{\Omega}\times(0,T)\),} \\\hbox{\(u(x,0)=u_{0}(x)\geq 0\quad \mbox{in}\quad ...
Halima Nachid
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Travelling wave solutions and spreading speeds for a scalar age-structured equation with nonlocal diffusion

European Journal of Applied Mathematics
In this paper, we study the existence of travelling wave solutions and the spreading speed for the solutions of an age-structured epidemic model with nonlocal diffusion.
Arnaud Ducrot, Hao Kang
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Electro‐reaction‐diffusion systems with nonlocal constraints

Mathematische Nachrichten, 2004
AbstractThe paper deals with equations modelling the redistribution of charged particles by reactions, drift and diffusion processes. The corresponding model equations contain parabolic PDEs for the densities of mobile species, ODEs for the densities of immobile species, a possibly nonlinear, nonlocal Poisson equation and some nonlocal constraints ...
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A finite element approach to the Keller–Segel Chemotaxis system with impact of nonlocal diffusion

Boundary Value Problems
This paper presents the investigation of a boundedness solution for a Keller–Segel chemotaxis (KSC) system with nonlocal diffusion. In order to achieve boundedness, we derive the necessary and sufficient condition based on the assumption of ensuring a ...
A. Baskar, V. Parthiban
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Nonlocal Diffusion Problems [PDF]

, 2010
Fuensanta Andreu-Vaillo, José Mazón, Julio Rossi, J. Julián Toledo-Melero   +3 more
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On nonlocal diffusion of gases

, 1978
Od Vol. 43, issue 1 (1991) wyd.: Polish Scientific Publishers = PWN ; Od Vol. 50, issue 4 (1998) wyd.: Agencja Reklamowo-Wydawnicza A. Grzegorczyk ; Od Vol. 53, issue 4/5 (2001) wyd: PAS. IFTR ; 1-120 pages [I-VIII Authors' Index] ; 24 cm ; Od Vol. 43, issue 1 (1991) wyd.: Polish Scientific Publishers = PWN ; Od Vol.
Demiray, H., Eringen, A.C.
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Nonlocal Approximation of Slow and Fast Diffusion

Journal of Differential Equations
Motivated by recent work on approximation of diffusion equations by deterministic interacting particle systems, we develop a nonlocal approximation for a range of linear and nonlinear diffusion equations and prove convergence of the method in the slow, linear, and fast diffusion regimes.
Katy Craig, Matt Jacobs, Olga Turanova
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An inverse time-dependent source problem for a time-fractional diffusion equation with nonlocal boundary conditions

Miskolc Mathematical Notes
In this paper, we investigate an inverse time-dependent source problem for a time-fractional diffusion equation with nonlocal boundary and integral over-determination conditions. The fractional derivative is described in the generalized Caputo sense. The
Farid Mihoubi, Brahim Nouiri
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The impact of immune cell interactions on virus quasi-species formation

Mathematical Biosciences and Engineering
The process of viral infection spreading in tissues was influenced by various factors, including virus replication within host cells, transportation, and the immune response.
Ali Moussaoui, Vitaly Volpert
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Traveling wave solutions of nonlocal delay reaction-diffusion equations without local quasimonotonicity

Electronic Journal of Differential Equations, 2014
This article concerns the traveling wave solutions of nonlocal delay reaction-diffusion equations without local quasimonotonicity. The existence of traveling wave solutions is obtained by constructing upper-lower solutions and passing to a limit ...
Shuxia Pan
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