Results 11 to 20 of about 111,699 (262)
Fractional Reaction-Diffusion Equations [PDF]
LaTeX, 17 pages, corrected ...
Saxena, R. K. +2 more
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Fractional reaction-diffusion equation [PDF]
A fractional reaction-diffusion equation is derived from a continuous time random walk model when the transport is dispersive. The exit from the encounter distance, which is described by the algebraic waiting time distribution of jump motion, interferes with the reaction at the encounter distance. Therefore, the reaction term has a memory effect.
Seki, Kazuhiko +2 more
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Speed of Fronts of the Reaction-Diffusion Equation [PDF]
7 pages Revtex, 1 figure not ...
Benguria Donoso, Rafael +1 more
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Stochastic Homogenization for Reaction–Diffusion Equations [PDF]
In the present paper we study stochastic homogenization for reaction-diffusion equations with stationary ergodic reactions. We first show that under suitable hypotheses, initially localized solutions to the PDE asymptotically become approximate characteristic functions of a ballistically expanding Wulff shape.
Jessica Lin, Andrej Zlatoš
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Langevin Equations for Reaction-Diffusion Processes [PDF]
5 pages + 6 pages supplemental ...
Benitez, Federico +5 more
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Perturbative linearization of reaction diffusion equations [PDF]
We develop perturbative expansions to obtain solutions for the initial-value problems of two important reaction-diffusion systems, viz., the Fisher equation and the time-dependent Ginzburg-Landau (TDGL) equation. The starting point of our expansion is the corresponding singular-perturbation solution.
Puri, Sanjay, Wiese, Kay Jörg
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A Diffusion Equation with a Variable Reaction Order
This paper deals with the ...
García-Melián Jorge +2 more
doaj +1 more source
Fractional Diffusion Equation under Singular and Non-Singular Kernel and Its Stability
The fractional reaction–diffusion equation has been used in many real-world applications in fields such as physics, biology, and chemistry. Motivated by the huge application of fractional reaction–diffusion, we propose a numerical scheme to solve the ...
Enrique C. Gabrick +8 more
doaj +1 more source
Fujita Exponent for a Nonlinear Degenerate Parabolic Equation with Localized Source
This paper is devoted to understand the blow-up properties of reaction-diffusion equations which combine a localized reaction term with nonlinear diffusion. In particular, we study the critical exponent of a p-Laplacian equation with a localized reaction.
Yulan Wang, Xiaojun Song, Chao Ye
doaj +1 more source
This paper is concerned with the numerical approximation of a nonlinear convection–reaction–diffusion equation with distributed delay. Using the stable recovery, we convert the original equation into nonlinear reaction–diffusion ...
Ziying He, Fengyan Wu, Hongyu Qin
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