6 citations · 11 across the 10 of their papers we have counts for
10 papers
The continuous version of the generalized exchange-driven growth model
Prasanta K. Barik, Fernando P. da Costa, João T. Pinto +1
In this article, we discuss the continuous version of the generalized exchange-driven growth model which is a variant of the coagulation model in which a smaller size particle is d…
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: 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…
Bifurcating solutions in a non-homogeneous boundary value problem for a nonlinear pendulum equation
Fernando P. da Costa, Michael Grinfeld, João T. Pinto +1
Motivated by recent studies of bifurcations in liquid crystals cells [1,2] we consider a nonlinear pendulum ordinary differential equation in the bounded interval with no…
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…
Bifurcations analysis of the twist-Fréedericksz transition in a nematic liquid-crystal cell with pre-twist boundary conditions: the asymmetric case
Fernando P. da Costa, Maria Isavel Méndez, João T. Pinto
In the paper [Eur. J. of Appl. Math. \textbf{20}, (2009) 269--287] by da Costa et al. the twist-Fréedericksz transition in a nematic liquid crystal one-dimensional cell of lenght $…
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…