期刊
JOURNAL OF STATISTICAL PHYSICS
卷 141, 期 3, 页码 422-458出版社
SPRINGER
DOI: 10.1007/s10955-010-0060-3
关键词
Aggregation; Ballistic; Smoluchowski equation; Self similar; Mass; Momentum
资金
- Spanish Ministerio de Ciencia e Innovacion [MTM2008-03541]
- Basque Government [IT-305-07]
- French Agence Nationale de la Recherche
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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