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The Cauchy problem for the generalized Boltzmann equation with dissipative collisions
Authors:E. De Angelis

C. P. Grü  nfeld

Affiliation:

Department of Mathematics, Politecnico of Torino Corso Duca degli Abruzzi 24, Torino, Italy

Institute of Space Sciences, INFLPR P.O. Box MG-23, Bucharest-Magurele, Romania

Abstract:We prove the global existence, uniqueness, and positivity of solutions to the Cauchy problem, with general initial data, for a class of generalized Boltzmann models with dissipative collisions.
Keywords:Cauchy problem   Boltzmann equation   Dissipative collisions   Generalized Boltzmann models
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