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Titlebook: Many-Particle Dynamics and Kinetic Equations; C. Cercignani,V. I. Gerasimenko,D. Ya. Petrina Book 1997 Springer Science+Business Media Dor

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On the Derivation of Kinetic Equations from the BBGKY Hierarchy,In Chapter IV we have considered one method of rigorous derivation of the Boltzmann equation from the BBGKY hierarchy, namely the Boltzmann-Grad limit method. The aim of the present Chapter is to develop a general approach to the problem of the derivation of kinetic equations.
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The Initial Value Problem for the BBGKY Hierarchy of a System of a Finite Number of Particles, solutions for a large class of singular interaction potentials and initial data in L. will be proved. From a physical point of view these solutions describe only states with a finite system of particles.
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Teresa S. Bowerse 3rd chapter of the book of M.A. Aiserman, E.M. Braverman and L.I. Rozonoer, The Method of Potential Functions in Machine Learning Theory, Physical-Mathematical State Publishing, Moscow (1970) – a chapter dedicated to the choice of a potential function. I.B. Muchnik argued the need for the presenta
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