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Scalings for a Ballistic Aggregation Equation

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Abstract

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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Authors and Affiliations

  1. Departamento de Matemáticas, Universidad del País Vasco, Apartado 644, 48080, Bilbao, Spain

    Miguel Escobedo

  2. Ceremade, UMR 7534, Université Paris, Dauphine, Place du Maréchal De Lattre de Tassigny, 75775, Paris Cedex 16, France

    Stéphane Mischler

Authors
  1. Miguel Escobedo
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  2. Stéphane Mischler
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Correspondence to Miguel Escobedo.

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Escobedo, M., Mischler, S. Scalings for a Ballistic Aggregation Equation. J Stat Phys 141, 422–458 (2010). https://doi.org/10.1007/s10955-010-0060-3

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  • DOI: https://doi.org/10.1007/s10955-010-0060-3

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