Scalings for a ballistic aggregation equation

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• Escobedo, M (Pas Vasco)
• Monday 06 September 2010, 15:45-16:25
• Seminar Room 1, Newton Institute.

If you have a question about this talk, please contact Mustapha Amrani.

Partial Differential Equations in Kinetic Theories

We consider a mean field type equation for ballistic aggregation of particles whose density function depends both on the mass and impulsion of the particles. For the case of a constant aggregation rate the existence of self-similar solutions and the convergence of more general solutions to them is proven.The large time decay of some moments of general solutions is estimated. Some new classes of self-similar solutions for several classes of mass and/or impulsion dependent rates are obtained.

This talk is part of the Isaac Newton Institute Seminar Series series.

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