6 citations · 8 across the 9 of their papers we have counts for
7 papers · 1 filter
The discrete generalized exchange-driven system
P. K. Barik, F. P. da Costa, J. T. Pinto +1
We study a discrete model for generalized exchange-driven growth in which the particle exchanged between two clusters is not limited to be of size one. This set of models include a…
Modelling silicosis: existence, uniqueness and basic properties of solutions
Fernando P. da Costa, João T. Pinto, Rafael Sasportes
We present a model for the silicosis disease mechanism following the original proposal by Tran, Jones, and Donaldson (1995) [9], as modified recently by da Costa, Drmota, and Grinf…
Point island dynamics under fixed rate deposition
D. Allen, M. Grinfeld, R. Sasportes
In this paper we consider the dynamics of point islands during submonolayer deposition, in which the fragmentation of subcritical size islands is allowed. To understand asymptotics…
On the convergence to critical scaling profiles in submonolayer deposition models
Fernando P. da Costa, João T. Pinto, Rafael Sasportes
In this work we study the rate of convergence to similarity profiles in a mean field model for the deposition of a submonolayer of atoms in a crystal facet, when there is a critica…
Rates of convergence to scaling profiles in a submonolayer deposition model and the preservation of memory of the initial condition
Fernando P. da Costa, João T. Pinto, Rafael Sasportes
We establish rates of convergence of solutions to scaling (or similarity) profiles in a coagulation type system modelling submonolayer deposition. We prove that, although all memor…
The Redner - Ben-Avraham - Kahng coagulation system with constant coefficients: the finite dimensional case
F. P. da Costa, J. T. Pinto, R. Sasportes
We study the behaviour as of solutions to the Redner--Ben-Avraham--Kahng coagulation system with positive and compactly supported initial data, rigorously p…
The Redner - Ben-Avraham - Kahng cluster system
F. P da Costa, J. T. Pinto, R. Sasportes
We consider a coagulation model first introduced by Redner, Ben-Avraham and Krapivsky in [Redner, Ben-Avraham, Kahng: Kinetics of 'cluster eating', J. Phys. A: Math. Gen., 20 (1987…