Results 31 to 40 of about 636,245 (282)
Long term dynamics of a reaction–diffusion system
Journal of Differential Equations, 2007 The author deals with the following reaction-diffusion system \[ u_t-\Delta u= au- buv,\quad v_t-\Delta v= cu- duv- ev \] in a bounded and regular domain \(\Omega\) of \(\mathbb{R}^d\), with smooth initial conditions \(u_0,v_0\geq 0\), \(u_0\neq 0\) and homogeneous Dirichlet boundary conditions.
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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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Periodic homogenization of strongly nonlinear reaction–diffusion equations with large reaction terms [PDF]
Applicable Analysis, 2013 19 ...
Svanstedt, Nils, Woukeng, Jean Louis
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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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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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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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Numerical solutions of multi-term fractional reaction-diffusion equations
AIMS Mathematics<p>In this paper, we have proposed a numerical approach based on generalized alternating numerical fluxes to solve the multi-term fractional reaction-diffusion equation. This type of equation frequently arises in the mathematical modeling of ultra-slow diffusion phenomena observed in various physical problems. These phenomena are characterized by
Leqiang Zou, Yanzi Zhang
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