4 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…
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…
Free boundary regularity for a tumor growth model with obstacle
Giulia Bevilacqua, Matteo Carducci
We develop an existence and regularity theory for solutions to a geometric free boundary problem motivated by models of tumor growth. In this setting, the tumor invades an accessib…
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…