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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.
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