6 citations · 10 across the 7 of their papers we have counts for
7 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…
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…
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…