20 citations · 63 across the 7 of their papers we have counts for
7 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…
Distributional fixed point equations for island nucleation in one dimension: a retrospective approach for capture zone scaling
Paul A. Mulheran, Kenneth P. O'Neill, Michael Grinfeld +1
The distributions of inter-island gaps and captures zones for islands nucleated on a one-dimensional substrate during submonolayer deposition are considered using a novel retrospec…
Gap size and capture zone distributions in one-dimensional point island nucleation and growth simulations: asymptotics and models
K. P. O'Neill, M. Grinfeld, W. Lamb +1
The nucleation and growth of point islands during submonolayer deposition on a one-dimensional substrate is simulated for critical island size . The small and large size…
Capture-zone distribution in one-dimensional sub-monolayer film growth: a fragmentation theory approach
M. Grinfeld, W. Lamb, P. A. Mulheran +1
The distribution of capture zones formed during the nucleation and growth of point islands on a one-dimensional substrate during monomer deposition is considered for general critic…