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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...