Singular perturbation theory of traveling waves in excitable media (a review)

JJ Tyson, JP Keener - Physica D: Nonlinear Phenomena, 1988 - Elsevier
Waves of chemical or electrical activity, traveling through space, have been observed in
several contexts: chemical reaction mixtures in non-convecting liquid phase, cell …

Surface tension-and buoyancy-driven flows across horizontally propagating chemical fronts

R Tiani, A De Wit, L Rongy - Advances in colloid and interface science, 2018 - Elsevier
Chemical reactions can interplay with hydrodynamic flows to generate various complex
phenomena. Because of their relevance in many research areas, chemically-induced …

Miscible density fingering of chemical fronts in porous media: Nonlinear simulations

A De Wit - Physics of Fluids, 2004 - pubs.aip.org
Nonlinear interactions between chemical reactions and Rayleigh–Taylor type density
fingering are studied in porous media or thin Hele-Shaw cells by direct numerical …

A note on the properties of a family of travelling-wave solutions arising in cubic autocatalysis

J Billingham, DJ Needham - Dynamics and stability of systems, 1991 - Taylor & Francis
The propagating reaction–diffusion waves that may develop in the isothermal, autocatalytic
system A+ 2B→ 3B, from a local initial input of the autocatalyst B, are considered. We find …

The Electrochemical Peroxydisulfate-Oxalate Autocatalytic Reaction

JN Janusz, JA Beeler, S Hosseini… - Journal of the …, 2024 - ACS Publications
Aqueous solutions containing both the strong oxidant, peroxydisulfate (S2O82–), and the
strong reductant, oxalate (C2O42–), are thermodynamically unstable due to the highly …

[图书][B] Matched asymptotic expansions in reaction-diffusion theory

J Leach, D Needham - 2003 - books.google.com
This volume contains a wealth of results and methodologies applicable to a wide range of
problems arising in reaction-diffusion theory. It can be viewed both as a handbook, and as a …

Noisy oscillator: Random mass and random damping

S Burov, M Gitterman - Physical Review E, 2016 - APS
The problem of a linear damped noisy oscillator is treated in the presence of two
multiplicative sources of noise which imply a random mass and random damping. The …

Fingering patterns and other interesting dynamics in the chemical waves generated by the chlorite-thiourea reaction

CR Chinake, RH Simoyi - The Journal of Physical Chemistry, 1994 - ACS Publications
The reaction between chlorite and thiourea is excitable and autocatalytic in HOC1. It
produces a chemical wave df CIO2 when CKV is in stoichiometric excess over thiourea. The …

Sharp estimates on minimum travelling wave speed of reaction diffusion systems modelling autocatalysis

X Chen, Y Qi - SIAM journal on mathematical analysis, 2007 - SIAM
This article studies propagating wave fronts in an isothermal chemical reaction A+2B→3B
involving two chemical species, a reactant A and an autocatalyst B, whose diffusion …

[HTML][HTML] A numerical study of singularly perturbed generalized Burgers–Huxley equation using three-step Taylor–Galerkin method

BVR Kumar, V Sangwan, S Murthy, M Nigam - Computers & Mathematics …, 2011 - Elsevier
In the present work, a numerical study has been carried out for the singularly perturbed
generalized Burgers–Huxley equation using a three-step Taylor–Galerkin finite element …