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 …

By bringing together various ideas and methods for extracting the slow manifolds, the
authors show that it is possible to establish a more macroscopic description in …

The concept of the limiting step gives the limit simplification: the whole network behaves as a
single step. This is the most popular approach for model simplification in chemical kinetics …

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

This book is focused on mathematical modelling of chemical kinetics. The authors present
the classification of basic models of chemical kinetics, thermokinetics and macrokinetics, as …

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 …

We revisit the classical stability versus accuracy dilemma for the lattice Boltzmann methods
(LBM). Our goal is a stable method of second-order accuracy for fluid dynamics based on …

The concept of the limiting step is extended to the asymptotology of multiscale reaction
networks. Complete theory for linear networks with well separated reaction rate constants is …

The authors are very glad to see the publication ofThermodynamicEquilibriaand Extrema in
English and would like to express their gratitude to everybody who contributed to this end …

A new approach to the problem of reduced description for Boltzmann-type systems is
developed. It involves a direct solution of two main problems: thermodynamicity and …