18 citations · 134 across the 30 of their papers we have counts for
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math.AP2017
Self-similar gelling solutions for the coagulation equation with diagonal kernel
Marco Bonacini, Barbara Niethammer, Juan Velázquez
We consider Smoluchowski's coagulation equation in the case of the diagonal kernel with homogeneity . In this case the phenomenon of gelation occurs and solutions lose mass at…
math-ph2017★ 10 cited
On the theory of Lorentz gases with long range interactions
Alessia Nota, Sergio Simonella, Juan J. L. Velázquez
We construct and study the stochastic force field generated by a Poisson distribution of sources at finite density, in each of them yielding a long…
math.AP2017★ 6 cited
Self-similar solutions to coagulation equations with time-dependent tails: the case of homogeneity smaller than one
Marco Bonacini, Barbara Niethammer, Juan J. L. Velázquez
We prove the existence of a one-parameter family of self-similar solutions with time-dependent tails for Smoluchowski's coagulation equation, for a class of rate kernels w…