Results 11 to 20 of about 111,699 (262)

Fractional Reaction-Diffusion Equations [PDF]

open access: yesAstrophysics and Space Science, 2006
LaTeX, 17 pages, corrected ...
Saxena, R. K.   +2 more
openaire   +3 more sources

Fractional reaction-diffusion equation [PDF]

open access: yesThe Journal of Chemical Physics, 2003
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
openaire   +2 more sources

Speed of Fronts of the Reaction-Diffusion Equation [PDF]

open access: yesPhysical Review Letters, 1996
7 pages Revtex, 1 figure not ...
Benguria Donoso, Rafael   +1 more
openaire   +4 more sources

Stochastic Homogenization for Reaction–Diffusion Equations [PDF]

open access: yesArchive for Rational Mechanics and Analysis, 2018
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
openaire   +2 more sources

Langevin Equations for Reaction-Diffusion Processes [PDF]

open access: yesPhysical Review Letters, 2016
5 pages + 6 pages supplemental ...
Benitez, Federico   +5 more
openaire   +5 more sources

Perturbative linearization of reaction diffusion equations [PDF]

open access: yesJournal of Physics A: Mathematical and General, 2003
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
openaire   +2 more sources

A Diffusion Equation with a Variable Reaction Order

open access: yesAdvanced Nonlinear Studies, 2018
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

open access: yesFractal and Fractional, 2023
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

open access: yesAdvances in Mathematical Physics, 2014
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

An Effective Numerical Algorithm Based on Stable Recovery for Partial Differential Equations With Distributed Delay

open access: yesIEEE Access, 2018
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
doaj   +1 more source

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