Journal
JOURNAL OF STATISTICAL PHYSICS
Volume 141, Issue 3, Pages 422-458Publisher
SPRINGER
DOI: 10.1007/s10955-010-0060-3
Keywords
Aggregation; Ballistic; Smoluchowski equation; Self similar; Mass; Momentum
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Funding
- Spanish Ministerio de Ciencia e Innovacion [MTM2008-03541]
- Basque Government [IT-305-07]
- French Agence Nationale de la Recherche
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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.
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