Scalings for a Ballistic Aggregation Equation
Escobedo, Miguel; Mischler, Stéphane (2010), Scalings for a Ballistic Aggregation Equation, Journal of Statistical Physics, 141, 3, p. 422-458. http://dx.doi.org/10.1007/s10955-010-0060-3
TypeArticle accepté pour publication ou publié
External document linkhttps://hal.archives-ouvertes.fr/hal-00429213
Journal nameJournal of Statistical Physics
Kluwer Academic Publishers etc.
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Abstract (EN)We consider a mean field type equation for ballistic aggregation of particles whose density function depends both on the mass and momentum of the particles. For the case of a constant aggregation rate we prove the existence of self-similar solutions and the convergence of more general solutions to them. We are able to estimate the large time decay of some moments of general solutions or to build some new classes of self-similar solutions for several classes of mass and/or momentum dependent rates.
Subjects / KeywordsSelf similar; Aggregation; Smoluchowski equation; Ballistic; Momentum; Mass
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