12 citations · 35 across the 9 of their papers we have counts for
12 papers
Advancing fronts for the thin-film equation with null slip and repulsive potentials: the case of partial wetting
Riccardo Durastanti, Lorenzo Giacomelli
For negative values of the spreading coefficient (that is, in the so-called ``partial wetting'' regime), we prove that the thin-film equation with zero slip and repulsive potential…
Total variation flow of curves in Riemannian manifolds
Lorenzo Giacomelli, Michał Łasica, Salvador Moll
We consider the functional of total variation of maps from an interval into a Riemannian submanifold of . We define a notion of strong solution to the system of equati…
Droplet motion with contact-line friction: long-time asymptotics in complete wetting
Lorenzo Giacomelli, Manuel V. Gnann, Dirk Peschka
We consider the thin-film equation for a class of free boundary conditions modelling friction at the contact line, as introduced by E and Ren. Our analysis focuses on formal long-t…
Thin-film equations with singular potentials: an alternative solution to the contact-line paradox
Riccardo Durastanti, Lorenzo Giacomelli
In the regime of lubrication approximation, we look at spreading phenomena under the action of singular potentials of the form as with , model…
Spreading equilibria under mildly singular potentials: pancakes versus droplets
Riccardo Durastanti, Lorenzo Giacomelli
We study global minimizers of a functional modeling the free energy of thin liquid layers over a solid substrate under the combined effect of surface, gravitational, and intermolec…
Nonlinear diffusion in transparent media
Lorenzo Giacomelli, Salvador Moll, Francesco Petitta
We consider a prototypical nonlinear parabolic equation whose flux has three distinguished features: it is nonlinear with respect to both the unknown and its gradient, it is homoge…
Shape programming of a magnetic elastica
Riccardo Durastanti, Lorenzo Giacomelli, Giuseppe Tomassetti
We consider a cantilever beam which possesses a possibly non-uniform permanent magnetization, and whose shape is controlled by an applied magnetic field. We model the beam as a pla…
A local estimate for vectorial total variation minimization in one dimension
Lorenzo Giacomelli, Michał Łasica
Let be the minimizer of vectorial total variation () with data-fidelity term on an interval . We show that the total variation of over…
Regular 1-harmonic flow
Lorenzo Giacomelli, Michał Łasica, Salvador Moll
We consider the 1-harmonic flow of maps from a bounded domain into a submanifold of a Euclidean space, i.e. the gradient flow of the total variation functional restricted to maps t…
Nonlinear diffusion in transparent media: the resolvent equation
Lorenzo Giacomelli, Salvador Moll, Francesco Petitta
We consider the partial differential equation with nonnegative and bounded and . We prove existen…
Optimal waiting time bounds for some flux-saturated diffusion equations
Lorenzo Giacomelli, Salvador Moll, Francesco Petitta
We consider the Cauchy problem for two prototypes of flux-saturated diffusion equations. In arbitrary space dimension, we give an optimal condition on the growth of the initial dat…
Dissipative scale effects in strain-gradient plasticity: the case of simple shear
Maria Chiricotto, Lorenzo Giacomelli, Giuseppe Tomassetti
We analyze dissipative scale effects within a one-dimensional theory, developed in [L. Anand et al. (2005) J. Mech. Phys. Solids 53], which describes plastic flow in a thin strip u…