Results 11 to 20 of about 313,499 (335)
Speed of Fronts of the Reaction-Diffusion Equation [PDF]
Physical Review Letters, 1996 7 pages Revtex, 1 figure not ...
Benguria Donoso, Rafael +1 more
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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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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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Stability analysis and simulations of coupled bulk-surface reaction–diffusion systems [PDF]
, 2015 In this article, we formulate new models for coupled systems of bulk-surface reaction–diffusion equations on stationary volumes. The bulk reaction–diffusion equations are coupled to the surface reaction–diffusion equations through linear Robin-type ...
Chung, Andy H W +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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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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Improved duality estimates and applications to reaction-diffusion equations [PDF]
, 2013 We present a refined duality estimate for parabolic equations. This estimate entails new results for systems of reaction-diffusion equations, including smoothness and exponential convergence towards equilibrium for equations with quadratic right-hand ...
Cañizo, José A. +2 more
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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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