The extension of the ILDM concept to reaction–diffusion manifolds

@article{Bykov2007TheEO,
title={The extension of the ILDM concept to reaction–diffusion manifolds},
author={V. Bykov and U. Maas},
journal={Combustion Theory and Modelling},
year={2007},
volume={11},
pages={839 - 862}
}

In the present work, the method of simplifying chemical kinetics based on Intrinsic Low-Dimensional Manifolds (ILDMs) is modified to deal with the coupling of reaction and diffusion processes. Several problems of the ILDM method are overcome by a relaxation to an invariant system manifold (Reaction–Diffusion Manifold – REDIM). This relaxation process is governed by a multidimensional parabolic partial differential equation system, where, as an initial solution, an extended ILDM is used… CONTINUE READING