Equilibrium Solution to the Inelastic Boltzmann Equation Driven by a Particle Bath |
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| Authors: | Marzia Bisi José A Carrillo Bertrand Lods |
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| Institution: | 1.Dipartimento di Matematica,Università di Parma,Parma,Italy;2.ICREA (Institució Catalana de Recerca i Estudis Avan?ats) and Departament de Matemàtiques,Universitat Autònoma de Barcelona,Bellaterra,Spain;3.Laboratoire de Mathématiques, CNRS UMR 6620,Université Blaise Pascal (Clermont-Ferrand 2),Aubière Cedex,France |
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| Abstract: | We show the existence of smooth stationary solutions for the inelastic Boltzmann equation under the thermalization induced
by a host medium with a fixed distribution. This is achieved by controlling the L
p
-norms, the moments and the regularity of the solutions to the Cauchy problem together with arguments related to a dynamical
proof for the existence of stationary states. |
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| Keywords: | |
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