4 papers
Continuous fragmentation equations in weighted spaces
Lyndsay Kerr, Wilson Lamb, Matthias Langer
We investigate an integro-differential equation that models the evolution of fragmenting clusters. We assume cluster size to be a continuous variable and allow for situations in wh…
Discrete fragmentation equations with time-dependent coefficients
Lyndsay Kerr, Wilson Lamb, Matthias Langer
We examine an infinite, linear system of ordinary differential equations that models the evolution of fragmenting clusters, where each cluster is assumed to be composed of identica…
Growth--fragmentation--coagulation equations with unbounded coagulation kernels
Jacek Banasiak, Wilson Lamb
In this paper we prove the global in time solvability of the continuous growth--fragmentation--coagulation equation with unbounded coagulation kernels, in spaces of functions havin…
Discrete fragmentation systems in weighted spaces
Lyndsay Kerr, Wilson Lamb, Matthias Langer
We investigate an infinite, linear system of ordinary differential equations that models the evolution of fragmenting clusters. We assume that each cluster is composed of identical…