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

Cercignani, Carlo; Pulvirenti, Mario (EDT); Arkeryd, L. (CON); Lions, P. L. (CON); Markowich, P. A. (CON)

ISBN 10: 3540569456 / ISBN 13: 9783540569459

Editore: Springer, 1993

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Dati bibliografici

• Titolo: 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
• Editore: Springer
• Data di pubblicazione: 1993
• Lingua: Inglese
• ISBN 10: 3540569456
• ISBN 13: 9783540569459
• Rilegatura: Brossura
• Condizione: As New

Descrizione articolo

Riassunto

This volume contains the text of four sets of lecturesdelivered at the third session of the Summer Schoolorganized by C.I.M.E. (Centro Internazionale MatematicoEstivo). These texts are preceded by an introduction writtenby C. Cercignani and M. Pulvirenti which summarizes thepresent status in the area of Nonequilibrium Problems inMany-Particle Systems and tries to put the contents of thedifferent sets of lectures in the right perspective, inorder to orient the reader. The lectures deal with theglobal existence of weak solutions for kinetic models andrelated topics, the basic concepts of non-standard analysisand their application to gas kinetics, the kinetic equationsfor semiconductors and the entropy methods in the study ofhydrodynamic limits.CONTENTS: C. Cercignani, M. Pulvirenti: NonequilibriumProblems in Many-Particle Systems. An Introduction.- L.Arkeryd: Some Examples of NSA in Kinetic Theory.- P.L.Lions: Global Solutions of Kinetic Models and RelatedProblems.- P.A. Markowich: Kinetic Models forSemiconductors.- S.R.S. Varadhan: Entropy Methods inHydrodynamic Scaling.

Contenuti

Nonequilibrium problems in many-particle systems. An introduction.- Some examples of NSA methods in kinetic theory.- Global solutions of kinetic models and related questions.- Kinetic models for semiconductors.- Entropy methods in hydrodynamic scaling.