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29 p, 268.7 KB Contractive metrics for a Boltzmann equation for granular gases: diffusive equilibriaThe Patterson-Sullivan embedding and minimal volume entropy for outer space / Bisi, M. (Università di Milano. Dipartimento di Matematica "F. Enriques") ; Carrillo de la Plata, José Antonio (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Toscani, Giuseppe (Università di Pavia. Dipartimento di Matematica) ; Centre de Recerca Matemàtica
We quantify the long-time behavior of a system of (partially) inelastic particles in a stochastic thermostat by means of the contractivity of a suitable metric in the set of probability measures. Existence, uniqueness, boundedness of moments and regularity of a steady state are derived from this basic property. [...]
Centre de Recerca Matemàtica 2005 (Prepublicacions del Centre de Recerca Matemàtica ; 623) - 10.1007/s10955-004-8785-5  
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