The concept of the slow invariant manifold is recognized as the central idea underpinning a
transition from micro to macro and model reduction in kinetic theories. We present the …

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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 …

Diffusion preserves the positivity of concentrations, therefore, multicomponent diffusion
should be nonlinear if there exist non-diagonal terms. The vast variety of nonlinear …

We study chemical reactions with complex mechanisms under two assumptions:(i)
intermediates are present in small amounts (this is the quasi-steady-state hypothesis or …

In this paper, we construct low-dimensional manifolds of reduced description for equations
of chemical kinetics from the standpoint of the method of invariant manifold (MIM). MIM is …

Basic nonlinear laws that govern nonlinear chemical kinetics and diffusion in a far-from-
equilibrium nonstationary regime are derived from an action functional of Hamilton's type …

A method for establishing linear conservation laws from the data of nonstationary
experiments for chemical reactions proceeding according to the nonideal kinetic laws (KLs) …

A method is developed to determine approximate dynamic kinetic invariants (quasi-
invariants) of complex chemical reactions with nonideal general-form kinetic laws. The quasi …

Models of complex reactions in thermodynamically isolated systems often demonstrate
evolution towards low-dimensional manifolds in the phase space. For this class of models …