A new probabilistic representation is given for the solution of the homogeneous Boltzmann equation for Maxwellian molecules, in terms of a sum of conditionally independent random variables. This representation is used to reach the optimal rate of convergence to the Maxwellian equilibrium.
New probabilistic methods for spatially homogeneous Maxwellian molecules / Dolera, Emanuele. - In: OBERWOLFACH REPORTS. - ISSN 1660-8933. - STAMPA. - 54/2010:(2010), pp. 3184-3186. (Intervento presentato al convegno Classical and quantum mechanical models of many-particle systems tenutosi a Oberwolfach (DE) nel 5-11/12/2010).
New probabilistic methods for spatially homogeneous Maxwellian molecules
DOLERA, Emanuele
2010
Abstract
A new probabilistic representation is given for the solution of the homogeneous Boltzmann equation for Maxwellian molecules, in terms of a sum of conditionally independent random variables. This representation is used to reach the optimal rate of convergence to the Maxwellian equilibrium.Pubblicazioni consigliate
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