New Invariant Expressions in Chemical Kinetics

Invariant Manifolds for Physical and Chemical Kinetics

results about them. The function field K(X) is a subfield of K(X/Y ); one of the important questions is: when are K(X) and K(X/Y ) equal, in other words, when can all formal-rational functions on X/Y be extended to X? Many of the theorems state suitable conditions on X and Y under which K(X) = K(X/Y ). The other chapters in the second part deal with selected topics from formal geometry such as ...

Method of invariant manifold for chemical kinetics

In this paper, we review the construction of low-dimensional manifolds of reduced description for equations of chemical kinetics from the standpoint of the method of invariant manifold (MIM). MIM is based on a formulation of the condition of invariance as an equation, and its solution by Newton iterations. A review of existing alternative methods is extended by a thermodynamically consistent ve...

Comparison of Invariant Manifolds for Model Reduction in Chemical Kinetics

A modern approach to model reduction in chemical kinetics is often based on the notion of slow invariant manifold. The goal of this paper is to give a comparison of various methods of construction of slow invariant manifolds using a simple Michaelis-Menten catalytic reaction. We explore a recently introduced Method of Invariant Grids (MIG) for iteratively solving the invariance equation. Variou...

Invariant grids for reaction kinetics

In this paper, we review the construction of low-dimensional manifolds of reduced description for equations of chemical kinetics from the standpoint of the method of invariant manifold (MIM). MIM is based on a formulation of the condition of invariance as an equation, and its solution by Newton iterations. A grid-based version of MIM is developed. Generalizations to open systems are suggested. ...

Chemical Kinetics in Cold Plasmas