1 citations · 2 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…
Soap films: from the Plateau problem to deformable boundaries
Giulia Bevilacqua, Luca Lussardi, Alfredo Marzocchi
A review on the classical Plateau problem is presented. Then, the state of the art about the Kirchhoff-Plateau problem is illustrated as well as some possible future directions of…
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…