Results 21 to 30 of about 313,499 (335)

Stochastic reaction–diffusion equations on networks [PDF]

Journal of Evolution Equations, 2021
AbstractWe consider stochastic reaction–diffusion equations on a finite network represented by a finite graph. On each edge in the graph, a multiplicative cylindrical Gaussian noise-driven reaction–diffusion equation is given supplemented by a dynamic Kirchhoff-type law perturbed by multiplicative scalar Gaussian noise in the vertices.
M. Kovács, E. Sikolya
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Reaction–diffusion equations in the half-space

Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2022
We study reaction–diffusion equations of various types in the half-space. For bistable reactions with Dirichlet boundary conditions, we prove conditional uniqueness: there is a unique nonzero bounded steady state which exceeds the bistable threshold on large balls.
Cole Graham, Henri Berestycki
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On reaction-subdiffusion equations [PDF]

, 2005
To analyze possible generalizations of reaction-diffusion schemes for the case of subdiffusion we discuss a simple monomolecular conversion A --> B. We derive the corresponding kinetic equations for local A and B concentrations.
B. J. Henry, F. Sagués, I. M. Sokolov, J. Klafter, M. G. W. Schmidt, S. B. Yuste, W. Ebeling   +6 more
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Nonlocal Reaction-Diffusion Equations in Population Dynamics [PDF]

Memoirs of the Scientific Sections of the Romanian Academy, 2019
This paper is dedicated to the memory of Narcisa Apreutesei Various problems in population dynamics are described by nonlocal reactiondiffusion equations, where the conventional logistic term for the reproduction rate is replaced by some integral ...
V. Volpert
doaj  

Novel Evaluation of Fuzzy Fractional Cauchy Reaction-Diffusion Equation

Journal of Function Spaces, 2022
The present research correlates with a fuzzy hybrid approach merged with a new iterative transform method known as the fuzzy new iterative transform method. With the help of Atangana-Baleanu under generalized Hukuhara differentiability, we show that this
Nehad Ali Shah, Essam R. El-Zahar, Hina M. Dutt, Mohammad Asif Arefin   +3 more
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Reaction–diffusion equations for the infinity Laplacian [PDF]

Nonlinear Analysis, 2020
We derive sharp regularity for viscosity solutions of an inhomogeneous infinity Laplace equation across the free boundary, when the right hand side does not change sign and satisfies a certain growth condition. We prove geometric regularity estimates for solutions and conclude that once the source term is comparable to a homogeneous function, then the ...
Diehl, Nicolau M.L., Teymurazyan, Rafayel   +1 more
openaire   +4 more sources

Two classes of nonlocal Evolution Equations related by a shared Traveling Wave Problem

, 2017
We consider reaction-diffusion equations and Korteweg-de Vries-Burgers (KdVB) equations, i.e. scalar conservation laws with diffusive-dispersive regularization.
A Chmaj, A Kiselev, A Kluwick, AA Kilbas, AI Volpert, B Alvarez-Samaniego, B Perthame, BT Hayes, BT Hayes, C Gui, C Rohde, CH Chan, D Jacobs, F Achleitner, F Achleitner, F Achleitner, F Mainardi, G Palatucci, H Dong, J Coville, J Droniou, J Droniou, J Endal, JL Bona, L Caffarelli, N Alibaud, N Alibaud, N Alibaud, P Biler, PI Naumkin, PW Bates, X Cabré, X Cabré, X Cabré, X Chen   +34 more
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Splitting spectral element method for fractional reaction-diffusion equations

Journal of Algorithms & Computational Technology, 2020
In this paper, we propose a second-order operator splitting spectral element method for solving fractional reaction-diffusion equations. In order to achieve a fast second-order scheme in time, we decompose the original equation into linear and nonlinear ...
Qi Li, Fangying Song
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Similarity solutions of Reaction-Diffusion equation with space- and time-dependent diffusion and reaction terms

, 2015
We consider solvability of the generalized reaction-diffusion equation with both space- and time-dependent diffusion and reaction terms by means of the similarity method.
Ho, C. -L., Lee, C. -C.
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Asymptotic Behavior of Stochastic Reaction–Diffusion Equations

Mathematics
In this paper, we concentrate on the propagation dynamics of stochastic reaction–diffusion equations, including the existence of travelling wave solution and asymptotic wave speed. Based on the stochastic Feynman–Kac formula and comparison principle, the
Hao Wen, Yuanjing Wang, Guangyuan Liu, Dawei Liu   +3 more
doaj   +1 more source