5 papers
Morphomechanical model of the torsional c-looping in the embryonic heart
Giulia Bevilacqua, Pasquale Ciarletta, Alfio Quarteroni
Before septation processes shape its four chambers, the embryonic heart is a straight tube that spontaneously bends and twists breaking the left-right symmetry. In particular, the…
Symmetry break in the eight bubble compaction
Giulia Bevilacqua
Geometry and mechanics have both a relevant role in determining the three-dimensional packing of 8 bubbles displyaed in a foam structure. We assume that the spatial arrangement of…
The Aronson-Bénilan Estimate in Lebesgue Spaces
Giulia Bevilacqua, Benoît Perthame, Markus Schmidtchen
In a celebrated three-pages long paper in 1979, Aronson and Bénilan obtained a remarkable estimate on second order derivatives for the solution of the porous media equation. Since…
Surface tension controls the onset of gyrification in brain organoids
Davide Riccobelli, Giulia Bevilacqua
Understanding the mechanics of brain embryogenesis can provide insights on pathologies related to brain development, such as lissencephaly, a genetic disease which cause a reductio…
Soap film spanning an elastic link
Giulia Bevilacqua, Luca Lussardi, Alfredo Marzocchi
We study the equilibrium problem of a system consisting by several Kirchhoff rods linked in an arbitrary way and tied by a soap film, using techniques of the Calculus of Variations…