111 citations · 300 across the 44 of their papers we have counts for
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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…
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…
Oscillatory travelling wave solutions for coagulation equations
Barbara Niethammer, Juan J. J. L. Velazquez
We consider Smoluchowski's coagulation equation with kernels of homogeneity one of the form $K_{\varepsilon }(ξ,η) =\big( ξ^{1-\varepsilon }+η^{1-\varepsilon }\big)\big ( ξη\big) ^…