2 papers
math.AP2023
On the existence and partial stability of standing waves for a nematic liquid crystal director field equation
Paulo Amorim, Jean-Baptiste Casteras, João Paulo Dias
In this paper, following the studies of Amorim and al. in Partial Differ.Equ. Appl. '23, we consider some new aspects of the motion of the director field of a nematic liquid crysta…
math.AP2021
On short wave-long wave interactions in the relativistic context
João Paulo Dias, Hermano Frid
In this paper we introduce models of short wave-long wave interactions in the relativistic setting. In this context the nonlinear Schrödinger equation is no longer adequate for des…