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math.CA2015★ 4 cited
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 $…
math.CA2015
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…