TY - JOUR
T1 - Soap film spanning electrically repulsive elastic protein links
AU - Bevilacqua, Giulia
AU - Lussardi, Luca
AU - Marzocchi, Alfredo
PY - 2018
Y1 - 2018
N2 - We study the equilibrium problem of a mechanical system consisting of two Kirchhoff rods linked in an arbitrary way and also forming knots, constrained not to touch themselves by means of electrical repulsion and tied by a soap film, as a model to describe the interaction between an electrically charged protein and a biomembrane. We prove the existence of a solution with minimum total energy, which may be quite irregular, by using techniques of the Calculus of Variations.
AB - We study the equilibrium problem of a mechanical system consisting of two Kirchhoff rods linked in an arbitrary way and also forming knots, constrained not to touch themselves by means of electrical repulsion and tied by a soap film, as a model to describe the interaction between an electrically charged protein and a biomembrane. We prove the existence of a solution with minimum total energy, which may be quite irregular, by using techniques of the Calculus of Variations.
KW - Kirchhoff-Plateau problem, Soap Film, Variational Methods
KW - Kirchhoff-Plateau problem, Soap Film, Variational Methods
UR - http://hdl.handle.net/10807/133995
UR - http://cab.unime.it/journals/index.php/aapp/article/view/aapp.96s3a1/aapp96s3a1
U2 - 10.1478/AAPP.96S3A1
DO - 10.1478/AAPP.96S3A1
M3 - Article
SN - 0365-0359
VL - 96
SP - 1
EP - 13
JO - AAPP Atti della Accademia Peloritana dei Pericolanti, Classe di Scienze Fisiche, Matematiche e Naturali
JF - AAPP Atti della Accademia Peloritana dei Pericolanti, Classe di Scienze Fisiche, Matematiche e Naturali
ER -