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On Rigorous Derivation of the Enskog Kinetic Equation
BBGKY hierarchy Enskog equation kinetic cluster expansion scattering cumulant hard spheres
2011/9/22
Abstract: We develop a rigorous formalism for the description of the kinetic evolution of infinitely many hard spheres. On the basis of the kinetic cluster expansions of cumulants of groups of operato...
From a kinetic equation to a diffusion under an anomalous scaling
Anomalous thermal conductivity kinetic limit invariance principle
2011/8/23
Abstract: A linear Boltzmann equation is interpreted as the forward equation for the probability density of a Markov process (K(t), i(t), Y(t)), where (K(t), i(t)) is an autonomous reversible jump pro...
Classification of conservative hydrodynamic chains. Vlasov type kinetic equation, Riemann mapping and the method of symmetric hydrodynamic reductions
hydrodynamic chains kinetic equation hydrodynamic reductions
2010/4/7
A complete classification of integrable conservative hydrodynamic chains is presented. These hydrodynamic chains are written via special coordinates -- moments, such that right hand sides of these inf...
Coupling coefficients and kinetic equation for Rossby waves in multi-layer ocean
Coupling coefficients kinetic equation Rossby waves multi-layer ocean
2009/11/12
The kinetic description of baroclinic Rossby waves in multi-layer model ocean is analysed. Explicit analytical expressions for the coupling coefficients describing energy exchange intensity between di...