Results 31 to 40 of about 644,555 (334)
Langevin Equations for Reaction-Diffusion Processes [PDF]
Physical Review Letters, 2016 5 pages + 6 pages supplemental ...
Benitez, Federico +5 more
openaire +5 more sources
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 +6 more
core +3 more sources
Open Mathematics, 2018 In this paper we investigate the stochastic retarded reaction-diffusion equations with multiplicative white noise on unbounded domain ℝn (n ≥ 2). We first transform the retarded reaction-diffusion equations into the deterministic reaction-diffusion ...
Jia Xiaoyao, Ding Xiaoquan, Gao Juanjuan
doaj +1 more source
Advances in Differential Equations, 2019 This manuscript deals with fractional differential equations including Caputo–Fabrizio differential operator. The conditions for existence and uniqueness of solutions of fractional initial value problems is established using fixed point theorem and ...
A. Shaikh +3 more
semanticscholar +1 more source
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
openaire +3 more sources
Stability of Traveling Waves for Reaction-Diffusion Equations with Multiplicative Noise [PDF]
SIAM Journal on Applied Dynamical Systems, 2017 We consider reaction-diffusion equations that are stochastically forced by a small multiplicative noise term. We show that spectrally stable travelling wave solutions to the deterministic system retain their orbital stability if the amplitude of the ...
Christian H. S. Hamster, H. Hupkes
semanticscholar +1 more source
Discrete and Continuous Dynamical Systems. Series A, 2019 A system of stochastic retarded reaction-diffusion equations with multiplicative noise and deterministic non-autonomous forcing on thin domains is considered. Relations between the asymptotic behavior for the stochastic retarded equations defined on thin
Dingshi Li +3 more
semanticscholar +1 more source
The gradient discretisation method for the chemical reactions of biochemical systems [PDF]
Arab Journal of Mathematical SciencesPurpose – The main purpose of this paper is to introduce the gradient discretisation method (GDM) to a system of reaction diffusion equations subject to non-homogeneous Dirichlet boundary conditions.
Yahya Alnashri, Hasan Alzubaidi
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Uncoupling Techniques for Multispecies Diffusion–Reaction Model
Computation, 2023 We consider the multispecies model described by a coupled system of diffusion–reaction equations, where the coupling and nonlinearity are given in the reaction part. We construct a semi-discrete form using a finite volume approximation by space.
Maria Vasilyeva +3 more
doaj +1 more source
Blocking and invasion for reaction–diffusion equations in periodic media [PDF]
Calculus of Variations and Partial Differential Equations, 2017 We investigate the large time behavior of solutions of reaction–diffusion equations with general reaction terms in periodic media. We first derive some conditions which guarantee that solutions with compactly supported initial data invade the domain.
R. Ducasse, L. Rossi
semanticscholar +1 more source