2 citations · 4 across the 5 of their papers we have counts for
5 papers
Existence and uniqueness of minimizers for axisymmetric nematic films
Giulia Bevilacqua, Chiara Lonati, Luca Lussardi +1
Nematic surfaces are thin liquid films endowed with in-plane orientational order. We study a variational model in which the nematic director is constrained to lie in the tangent sp…
Thermal convection in a higher velocity gradient and higher temperature gradient fluid
Giulia Giantesio, Alberto Girelli, Chiara Lonati +3
We analyse a model for thermal convection in a class of generalized Navier-Stokes equations containing fourth order spatial derivatives of the velocity and of the temperature. The…
A variational analysis of nematic axisymmetric films: the covariant derivative case
Giulia Bevilacqua, Chiara Lonati, Luca Lussardi +1
Nematic surfaces are thin fluid structures, ideally two-dimensional, endowed with an in-plane nematic order. In 2012, two variational models have been introduced by Giomi [11] and…
Self-contact preventing energy for tubular rods
Chiara Lonati, Alfredo Marzocchi
We introduce a generalization of Mobius energy for knots to an energy functional for tubular neighbourhoods of closed inextensible curves. We prove the continuity of the energy and…
Effects of surface tension and elasticity on critical points of the Kirchhoff-Plateau problem
Giulia Bevilacqua, Chiara Lonati
We introduce a modified Kirchhoff-Plateau problem adding an energy term to penalize shape modifications of the cross-sections appended to the elastic midline. In a specific setting…