Rezakhanlou, Fraydoun
Overview
Works:  2 works in 27 publications in 1 language and 645 library holdings 

Roles:  Author 
Classifications:  QC175.2, 530.138 
Publication Timeline
.
Most widely held works by
Fraydoun Rezakhanlou
Entropy methods for the Boltzmann equation : lectures from a special semester at the Centre Émile Borel, Institut H. Poincaré,
Paris, 2001 by
Fraydoun Rezakhanlou(
Book
)
25 editions published between 2007 and 2008 in English and held by 253 WorldCat member libraries worldwide
Entropy and entropy production have recently become mathematical tools for kinetic and hydrodynamic limits, when deriving the macroscopic behaviour of systems from the interaction dynamics of their many microscopic elementary constituents at the atomic or molecular level. During a special semester on Hydrodynamic Limits at the Centre Émile Borel in Paris, 2001 two of the research courses were held by C. Villani and F. Rezakhanlou. Both illustrate the major role of entropy and entropy production in a mutual and complementary manner and have been written up and updated for joint publication. Villani describes the mathematical theory of convergence to equilibrium for the Boltzmann equation and its relation to various problems and fields, including information theory, logarithmic Sobolev inequalities and fluid mechanics. Rezakhanlou discusses four conjectures for the kinetic behaviour of the hard sphere models and formulates four stochastic variations of this model, also reviewing known results for these
25 editions published between 2007 and 2008 in English and held by 253 WorldCat member libraries worldwide
Entropy and entropy production have recently become mathematical tools for kinetic and hydrodynamic limits, when deriving the macroscopic behaviour of systems from the interaction dynamics of their many microscopic elementary constituents at the atomic or molecular level. During a special semester on Hydrodynamic Limits at the Centre Émile Borel in Paris, 2001 two of the research courses were held by C. Villani and F. Rezakhanlou. Both illustrate the major role of entropy and entropy production in a mutual and complementary manner and have been written up and updated for joint publication. Villani describes the mathematical theory of convergence to equilibrium for the Boltzmann equation and its relation to various problems and fields, including information theory, logarithmic Sobolev inequalities and fluid mechanics. Rezakhanlou discusses four conjectures for the kinetic behaviour of the hard sphere models and formulates four stochastic variations of this model, also reviewing known results for these
Hydrodynamic limit for a system with finite range interactions by
Fraydoun Rezakhanlou(
Book
)
2 editions published in 1989 in English and held by 2 WorldCat member libraries worldwide
We study a system of interacting diffusions. The variables present the amount of charge at various sites of a periodic multidimensional lattice. The equilibrium states of the diffusion are canonical Gibbs measures of a given finite range interaction. Under an appropriate scaling of lattice spacing and time, we derive the hydrodynamic limit for the evolution of the macroscopic charge density
2 editions published in 1989 in English and held by 2 WorldCat member libraries worldwide
We study a system of interacting diffusions. The variables present the amount of charge at various sites of a periodic multidimensional lattice. The equilibrium states of the diffusion are canonical Gibbs measures of a given finite range interaction. Under an appropriate scaling of lattice spacing and time, we derive the hydrodynamic limit for the evolution of the macroscopic charge density
Audience Level
0 

1  
Kids  General  Special 
Related Identities