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Scalings for a ballistic aggregation equation

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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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