Entropy-Related Extremum Principles for Model Reduction of Dissipative Dynamical Systems
Abstract
Chemical kinetic systems are modeled by dissipative ordinary differential equations involving multiple time scales. These lead to a phase flow generating anisotropic volume contraction. Kinetic model reduction methods generally exploit time scale separation into fast and slow modes, which leads to the occurrence of low-dimensional slow invariant manifolds. The aim of this paper is to review and discuss a computational optimization approach for the numerical approximation of slow attracting manifolds based on entropy-related and geometric extremum principles for reaction trajectories.
- Publication:
-
Entropy
- Pub Date:
- April 2010
- DOI:
- 10.3390/e12040706FILE: /proj/ads/abstracts/
- Bibcode:
- 2010Entrp..12..706L
- Keywords:
-
- model reduction;
- slow invariant manifolds;
- chemical kinetics;
- extremum principles;
- entropy concepts