# Asymptotics of reaction–diffusion fronts with one static and one diffusing reactant

@article{Bazant1999AsymptoticsOR, title={Asymptotics of reaction–diffusion fronts with one static and one diffusing reactant}, author={Martin Z. Bazant and Howard A. Stone}, journal={Physica D: Nonlinear Phenomena}, year={1999}, volume={147}, pages={95-121} }

## 6 Citations

### A Two-Species Reaction-Diffusion Problem with One Static Reactant: The Case of Higher Order Kinetics

- Chemistry
- 2002

Reaction-diffusion equations are well-studied due to their common occurrence in many areas of chemistry, physics, biology and engineering (e.g. [1], [2]). Models for reaction-diffusion processes…

### Approximating the large time asymptotic reaction zone solution for fractional order kinetics A nB m

- Mathematics
- 2011

Consider the reaction front formed when two initially separated reactants
A and B are brought into contact and react at a rate proportional to $A^n B^m$
when the concentrations $A$ and $B$ are…

### On the interplay between fast reaction and slow diffusion in the concrete carbonation process: a matched-asymptotics approach

- Mathematics
- 2009

AbstractA matched-asymptotics approach is proposed to show the occurrence of two distinct characteristic length scales in the carbonation process. The separation of these scales arises due to the…

### Length scales in the concrete carbonation process and water barrier effect : a matched asymptotics approach

- Mathematics
- 2006

The reaction CO2 +Ca(OH)2 → H2O+CaCO3 takes place in unsaturated porous concrete-based materials with separated reactants, where CO2 and H2O are diffusing and Ca(OH)2 can be assumed as immobile. The…

### Transverse transport of solutes between co-flowing pressure-driven streams for microfluidic studies of diffusion/reaction processes

- Physics
- 2007

We consider a situation commonly encountered in microfluidics: two streams of miscible liquids are brought at a junction to flow side by side within a microchannel, allowing solutes to diffuse from…

### Deionization shocks in microstructures.

- EngineeringPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2011

It is shown that deionization shocks accelerate and sharpen in narrowing channels, while they decelerate and weaken, and sometimes disappear, in widening channels, allowing for slow variations in surface charge or channel geometry.

### Asymptotics of Coupled Reaction-Diffusion Fronts With Multiple Static and Diffusing Reactants: Uranium Oxidation in Water Vapor

- ChemistrySIAM J. Appl. Math.
- 2020

Large-time asymptotic solutions for the reaction-diffusion front between one static reactant and one diffusing reactant are known. These states apply to single-step reactions with a mean-field reac...

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