251 citations
- Institute of PhysicsPL3 papers
- École Polytechnique Fédérale de LausanneCH2 papers
- ETH ZurichCH2 papers
- Institut des Hautes Études ScientifiquesFR2 papers
- Austrian Academy of SciencesAT1 paper
- Humboldt-Universität zu BerlinDE1 paper
- Institute of Biochemical Physics NM EmanuelRU1 paper
- Istituto per le Applicazioni del Calcolo Mauro PiconeIT1 paper
- Krasnoyarsk Scientific CenterRU1 paper
- Russian Academy of SciencesRU1 paper
- Siberian Federal UniversityRU1 paper
- Space Research InstituteRU1 paper
Showing cond-mat.stat-mechShow all
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cond-mat.stat-mech2003★ 54 cited
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…
cond-mat.stat-mech2003★ 24 cited
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…
cond-mat.stat-mech2002★ 251 cited
Method of invariant manifold for chemical kinetics
Alexander N. Gorban, Iliya V. Karlin
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 mani…