157 citations
6 papers
Constructive Methods of Invariant Manifolds for Kinetic Problems
A. N. Gorban, I. V. Karlin, A. Yu. Zinovyev
We present the Constructive Methods of Invariant Manifolds for model reduction in physical and chemical kinetics, developed during last two decades. The problem of reduced descript…
Kinetic Theory of Turbulence Modeling: Smallness Parameter, Scaling and Microscopic Derivation of Smagorinsky Model
Santosh Ansumali, Iliya V. Karlin, Sauro Succi
A mean-field approach (filtering out subgrid scales) is applied to the Boltzmann equation in order to derive a subgrid turbulence model based on kinetic theory. It is demonstrated…
Uniqueness of thermodynamic projector and kinetic basis of molecular individualism
A. N. Gorban, I. V. Karlin
Three results are presented: First, we solve the problem of persistence of dissipation for reduction of kinetic models. Kinetic equations with thermodynamic Lyapunov functions are…
Legendre Integrators, Post-Processing and Quasiequilibrium
A. N. Gorban, P. A. Gorban, I. V. Karlin
A toolbox for the development and reduction of the dynamical models of nonequilibrium systems is presented. The main components of this toolbox are: Legendre integrators, dynamical…
Irreversibility in the short memory approximation
Iliya V. Karlin, Larisa L. Tatarinova, Alexander N. Gorban +1
A recently introduced systematic approach to derivations of the macroscopic dynamics from the underlying microscopic equations of motions in the short-memory approximation [Gorban…
Seven clusters in genomic triplet distributions
A. N. Gorban, A. Yu. Zinovyev, T. G. Popova
In several recent papers new gene-detection algorithms were proposed for detecting protein-coding regions without requiring learning dataset of already known genes. The fact that u…