Results 21 to 30 of about 636,192 (242)
Anomalous subdiffusion with multispecies linear reaction dynamics [PDF]
, 2008 We have introduced a set of coupled fractional reaction-diffusion equations to model a multispecies system undergoing anomalous subdiffusion with linear reaction dynamics.
Henry, B. I. +2 more
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, 2004 We study the single-species diffusion-annihilation process with a time-dependent reaction rate, lambda(t)=lambda_0 t^-omega. Scaling arguments show that there is a critical value of the decay exponent omega_c(d) separating a reaction-limited regime for ...
ben-Avraham D +11 more
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Decay to equilibrium for energy-reaction-diffusion systems [PDF]
, 2016 We derive thermodynamically consistent models of reaction-diffusion equations coupled to a heat equation. While the total energy is conserved, the total entropy serves as a driving functional such that the full coupled system is a gradient flow.
Haskovec, Jan +3 more
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Concentration Profiles and Reaction Fronts in A + B -> C Type Processes: Effect of Background Ions
, 1999 Diffusion and reaction of initially separated ions A- and B+ in the presence of counter ions A'+ and B'- is studied. The dynamics is described in terms of reaction-diffusion equations obeying local electroneutrality, and the time-evolution of ion ...
Racz, Z., Unger, T.
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Reaction-diffusion models for biological pattern formation [PDF]
, 2001 We consider the use of reaction-diffusion equations to model biological pattern formation and describe the derivation of the reaction-terms for several illustrative examples.
Crampin, E. J., Maini, P. K.
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Blow-Up Rate Estimates for a System of Reaction-Diffusion Equations with Gradient Terms
International Journal of Mathematics and Mathematical Sciences, 2019 This paper is concerned with the blow-up properties of Cauchy and Dirichlet problems of a coupled system of Reaction-Diffusion equations with gradient terms. The main goal is to study the influence of the gradient terms on the blow-up profile.
Maan A. Rasheed +2 more
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Time Fractional Fisher–KPP and Fitzhugh–Nagumo Equations
Entropy, 2020 A standard reaction–diffusion equation consists of two additive terms, a diffusion term and a reaction rate term. The latter term is obtained directly from a reaction rate equation which is itself derived from known reaction kinetics, together with ...
Christopher N. Angstmann, Bruce I. Henry
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Bistable reaction equations with doubly nonlinear diffusion
, 2019 Reaction-diffusion equations appear in biology and chemistry, and combine linear diffusion with different kind of reaction terms. Some of them are remarkable from the mathematical point of view, since they admit families of travelling waves that describe
Audrito, Alessandro
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Exponential Stability of Coupled Systems on Networks with Mixed Delays and Reaction-Diffusion Terms
Abstract and Applied Analysis, 2014 This paper is concerned with the stability analysis issue for coupled systems on networks with mixed delays and reaction-diffusion terms (CSNMRs). By employing Lyapunov method and Kirchhoff's Theorem in graph theory, a systematic method is proposed to ...
Wenxue Li, Tianrui Chen, Ke Wang
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An upper bound for the bulk burning rate for systems
, 2000 We consider a system of reaction-diffusion equations with passive advection term and Lewis number not equal to one. Such systems are used to describe chemical reactions in a flow in a situation where temperature and material diffusivities are not equal ...
Kiselev, Alexander, Ryzhik, Leonid
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