Scalings for a Ballistic Aggregation Equation |
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Authors: | Miguel Escobedo and Stéphane Mischler |
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Institution: | 1.Departamento de Matemáticas,Universidad del País Vasco,Bilbao,Spain;2.Ceremade, UMR 7534,Université Paris,Paris Cedex 16,France |
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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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Keywords: | |
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