Results 21 to 30 of about 304,993 (285)
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
doaj +1 more source
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
doaj +1 more source
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
openaire +2 more sources
Diffusion-reaction modelling of the degradation of oil-well cement exposed to carbonated brine [PDF]
, 2017 The essential aspects of a diffusion-reaction model in development for the degradation process of oil-well cement exposed to carbonated brine are presented in this paper.
Carol, Ignacio +3 more
core +3 more sources
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
core +2 more sources
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
core +3 more sources
Langevin Equations for Reaction-Diffusion Processes [PDF]
Physical Review Letters, 2016 5 pages + 6 pages supplemental ...
Benitez, Federico +5 more
openaire +5 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
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
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