3 papers
math.NA2016
Fast-slow vector fields of reaction-diffusion systems
V. Bykov, Y. Cherkinsky, V. Gol'dshtein +2
A geometrically invariant concept of fast-slow vector fields perturbed by transport terms (describing molecular diffusion processes) is proposed in this paper. It is an extension o…
math.NA2016
Singularly Perturbed Profiles
V. Bykov, Y. Cherkinsky, V. Gol'dshtein +2
In the current paper the so-called REaction-DIffusion Manifold (REDIM) method of model reduction is discussed within the framework of standard singular perturbation theory. Accordi…
physics.chem-ph2015
About Bifurcational Parametric Simplification
V. Gol'dshtein, N. Krapivnik, G. Yablonsky
A concept of "critical" simplification was proposed by Yablonsky and Lazman in 1996 for the oxidation of carbon monoxide over a platinum catalyst using a Langmuir-Hinshelwood mecha…