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Local well posedness for a linear coagulation equation
In this paper we derive some a priori estimates for a class of linear
coagulation equations with particle fluxes towards large size particles. The
derived estimates allow us to prove local well posedness for the considered
equations. Some regularizing effects exhibited by the equations in the particle
distributions for large particle sizes are discussed in detail.Comment: 71 page
Optimal bounds for self-similar solutions to coagulation equations with product kernel
We consider mass-conserving self-similar solutions of Smoluchowski's
coagulation equation with multiplicative kernel of homogeneity . We establish rigorously that such solutions exhibit a singular behavior
of the form as . This property had been
conjectured, but only weaker results had been available up to now
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