Journal of Statistical Physics

, Volume 141, Issue 3, pp 422–458 | Cite as

Scalings for a Ballistic Aggregation Equation



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.


Aggregation Ballistic Smoluchowski equation Self similar Mass Momentum 


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© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Departamento de MatemáticasUniversidad del País VascoBilbaoSpain
  2. 2.Ceremade, UMR 7534Université ParisParis Cedex 16France

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