Incorporating reaction-rate dependence in reaction-front models of wellbore-cement/carbonated-brine systems

Large scale reaction front dynamics in anisotropic reaction-diffusion systems

Continuous Dependence in Front Propagation for Convective Reaction-Diffusion Models with Aggregative Movements

and Applied Analysis 3 and their main qualitative properties have been investigated since a long time, and we refer to 2, 7, 8 for details. The latter case; that is, α 0, was recently discussed in 9 . As far as we know, the first detailed investigation concerning the existence of t.w.s. of 1.1 when D satisfies 1.5 and α ∈ 0, 1 appeared in 10 , but there was no convective effect included. Under ...

Nonuniform reaction rate distribution for the generalized Fisher equation: ignition ahead of the reaction front.

We have addressed the problem of wavefront propagation for the generalized Fisher equation involving diffusion transport with a finite velocity and a spatially nonuniform reaction rate. We have considered in detail the phenomenon of wavefront jump or ignition ahead of the reaction front for a piecewise constant reaction rate. By using a relativistic mechanics technique based on the principle of...

Reaction front in an A+B-->C reaction-subdiffusion process.

We study the reaction front for the process A+B-->C in which the reagents move subdiffusively. Our theoretical description is based on a fractional reaction-subdiffusion equation in which both the motion and the reaction terms are affected by the subdiffusive character of the process. We design numerical simulations to check our theoretical results, describing the simulations in some detail bec...

Fluctuation-regularized front propagation dynamics in reaction-diffusion systems.

We introduce and study a new class of fronts in finite particle-number reaction-diffusion systems, corresponding to propagating up a reaction-rate gradient. We show that these systems have no traditional mean-field limit, as the nature of the long-time front solution in the stochastic process differs essentially from that obtained by solving the mean-field deterministic reaction-diffusion equat...