Results 11 to 20 of about 49,802 (165)
Stochastic Homogenization for Reaction–Diffusion Equations [PDF]
Archive 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
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Numerical Solutions of Space-Fractional Advection–Diffusion–Reaction Equations
Fractal and Fractional, 2021 Background: solute transport in highly heterogeneous media and even neutron diffusion in nuclear environments are among the numerous applications of fractional differential equations (FDEs), being demonstrated by field experiments that solute ...
Valentina Anna Lia Salomoni +1 more
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Perturbative linearization of reaction diffusion equations [PDF]
Journal 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
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Study of ODE limit problems for reaction-diffusion equations [PDF]
Opuscula Mathematica, 2018 In this work we study ODE limit problems for reaction-diffusion equations for large diffusion and we study the sensitivity of nonlinear ODEs with respect to initial conditions and exponent parameters.
Jacson Simsen +2 more
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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
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A convergent reaction-diffusion master equation [PDF]
The Journal of Chemical Physics, 2013 The reaction-diffusion master equation (RDME) is a lattice stochastic reaction-diffusion model that has been used to study spatially distributed cellular processes. The RDME is often interpreted as an approximation to spatially continuous models in which molecules move by Brownian motion and react by one of several mechanisms when sufficiently close ...
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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
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Waveform relaxation for reaction–diffusion equations
Journal of Computational and Applied Mathematics, 2011 The authors propose a new waveform relaxation algorithm for general semi-linear reaction-diffusion equations. Compared with the classical waveform relaxation algorithm, the new one has two advantages: the first one is that the system is not decomposed into sub-systems; the second one is represented by the fact that the convergence rate of the new ...
Jun Liu 0064, Yao-Lin Jiang
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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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