1 citations · 1 across the 3 of their papers we have counts for
5 papers
Modelling silicosis: dynamics of a model with piecewise constant rate coefficients
Pedro R. S. Antunes, Fernando P. da Costa, João T. Pinto +1
We study the dynamics about equilibria of an infinite dimension coagulation-fragmentation-death model for the silicosis disease mechanism introduced recently by da Costa, Drmota, 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…
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…