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
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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