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 selfsimilar 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 selfsimilar 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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