14 citations · 15 across the 5 of their papers we have counts for
6 papers
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…
Theoretical analysis of a discrete population balance model for sum kernel
Sonali Kaushik, Rajesh Kumar, Fernando P. da Costa
The Oort-Hulst-Safronov equation, shorterned as OHS is a relevant population balance model. Its discrete form, developed by Dubovski is the main focus of our analysis. The existenc…
Modelling Silicosis: The Structure of Equilibria
Fernando P. da Costa, Michael Drmota, Michael Grinfeld
We analyse the structure of equilibria of a coagulation-fragmentation-death model of silicosis. We present exact multiplicity results in the particular case of piecewise-constant c…
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…
Long-Time Behaviour and Self-Similarity in a Coagulation Equation with Input of Monomers
F. P. da Costa, H. J. van Roessel, J. A. D. Wattis
For a coagulation equation with Becker-Doring type interactions and time-independent monomer input we study the detailed long-time behaviour of nonnegative solutions and prove the…