Constructive methods of invariant manifolds for kinetic problems
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 …
transition from micro to macro and model reduction in kinetic theories. We present the …
[图书][B] Invariant manifolds for physical and chemical kinetics
Invariant Manifolds for Physical and Chemical Kinetics | SpringerLink Skip to main content
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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 …
description for equations of chemical kinetics from the standpoint of the method of invariant …
Quasichemical models of multicomponent nonlinear diffusion
Diffusion preserves the positivity of concentrations, therefore, multicomponent diffusion
should be nonlinear if there exist non-diagonal terms. The vast variety of nonlinear …
should be nonlinear if there exist non-diagonal terms. The vast variety of nonlinear …
Invariant grids for reaction kinetics
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 …
of chemical kinetics from the standpoint of the method of invariant manifold (MIM). MIM is …
From a least action principle to mass action law and extended affinity
S Sieniutycz - Chemical engineering science, 1987 - Elsevier
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 …
equilibrium nonstationary regime are derived from an action functional of Hamilton's type …
Conservation laws for chemical reactions with nonideal kinetics in a nonisothermal gradient-free reactor
NI Kol'tsov - Russian Journal of Physical Chemistry B, 2022 - Springer
A method for establishing linear conservation laws from the data of nonstationary
experiments for chemical reactions proceeding according to the nonideal kinetic laws (KLs) …
experiments for chemical reactions proceeding according to the nonideal kinetic laws (KLs) …
Quasi-invariants of chemical reactions with nonideal kinetics
VK Fedotov, NI Kol'tsov - Russian Journal of Physical Chemistry B, 2019 - Springer
A method is developed to determine approximate dynamic kinetic invariants (quasi-
invariants) of complex chemical reactions with nonideal general-form kinetic laws. The quasi …
invariants) of complex chemical reactions with nonideal general-form kinetic laws. The quasi …
Reduced description in the reaction kinetics
Models of complex reactions in thermodynamically isolated systems often demonstrate
evolution towards low-dimensional manifolds in the phase space. For this class of models …
evolution towards low-dimensional manifolds in the phase space. For this class of models …