Nonequilibrium Problems in Many-Particle Systems: Lectures given at the 3rd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Monecatini, Italy, June 15-27, 1992

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This volume contains the text of four sets of lectures delivered at the

third session of the Summer School organized by C.I.M.E. (Centro

Internazionale Matematico Estivo). These texts are preceded by an

introduction written by C. Cercignani and M. Pulvirenti which summarizes

the present status in the area of Nonequilibrium Problems

in Many-Particle Systems and tries to put the contents of the different sets of lectures in the right perspective, in order to orient the reader.
The lectures deal with the global existence of weak solutions for kinetic
models and related topics, the basic concepts of non-standard

analysis and their application to gas kinetics, the kinetic

equations for semiconductors and the entropy methods in the study

of hydrodynamic limits. CONTENTS: C. Cercignani, M. Pulvirenti:

Nonequilibrium Problems in Many-Particle Systems. An Introduction.-

L. Arkeryd: Some Examples of NSA in Kinetic Theory.- P.L. Lions: Global Solutions of Kinetic Models and Related Problems.- P.A. Markowich: Kinetic Models for Semiconductors.- S.R.S. Varadhan: Entropy Methods

in Hydrodynamic Scaling.