Results 11 to 20 of about 110,349 (310)
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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Langevin Equations for Reaction-Diffusion Processes [PDF]
Physical Review Letters, 2016 5 pages + 6 pages supplemental ...
Benitez, Federico +5 more
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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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Rigorous Multicomponent Reactive Separations Modelling : Complete Consideration of Reaction-Diffusion Phenomena [PDF]
, 2010 This paper gives the first step of the development of a rigorous multicomponent reactive separation model. Such a model is highly essential to further the optimization of acid gases removal plants (CO2 capture, gas treating, etc.) in terms of size and ...
Ahmadi, Aras +20 more
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Exact Solutions of Coupled Multispecies Linear Reaction-Diffusion Equations on a Uniformly Growing Domain. [PDF]
PLoS One, 2015 Embryonic development involves diffusion and proliferation of cells, as well as diffusion and reaction of molecules, within growing tissues. Mathematical models of these processes often involve reaction-diffusion equations on growing domains that have ...
Simpson MJ +3 more
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Analysis of Reaction-Diffusion Models with the Taxis Mechanism [PDF]
, 2022 This open access book deals with a rich variety of taxis-type cross-diffusive equations. Particularly, it intends to show the key role played by quasi-energy inequality in the derivation of some necessary a priori estimates.
Ke, Yuanyuan, Li, Jing, Wang, Yifu
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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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