34 citations · 103 across the 26 of their papers we have counts for
31 papers
On -entropy solutions of a nonlocal thin film equation: existence and finite speed of propagation
Antonio Segatti, Roman Taranets
We consider an initial-boundary value problem for a class of nonlocal thin film equations governed by the spectral fractional Laplacian with homogeneous Neumann boundary conditions…
Heat flow of harmonic maps into CAT()-spaces
Fang-Hua Lin, Antonio Segatti, Yannick Sire +1
We introduce a new approach to prove the global existence and uniqueness of suitable weak solutions of the heat flow of harmonic mappings into CAT(0) metric spaces. Our method allo…
Global attractor for a Cahn-Hilliard-chemotaxis model with logistic degradation
Giulio Schimperna, Antonio Segatti
We consider a mathematical model coupling the Cahn-Hilliard system for phase separation with an additional equation describing the diffusion process of a chemical quantity whose co…
Existence and finite speed of propagation of solutions for a multi-dimensional fractional thin-film equation
Nicola De Nitti, Stefano Lisini, Antonio Segatti +1
In this paper, we discuss existence and finite speed of propagation for the solutions to an initial-boundary value problem for a family of fractional thin-film equations in a bound…
Dimensional Reduction and emergence of defects in the Oseen-Frank model for nematic liquid crystals
Giacomo Canevari, Antonio Segatti
In this paper we discuss the behavior of the Oseen-Frank model for nematic liquid crystals in the limit of vanishing thickness. More precisely, in a thin slab~ with~…
Motion of vortices for the extrinsic Ginzburg-Landau flow for vector fields on surfaces
Giacomo Canevari, Antonio Segatti
We consider the gradient flow of a Ginzburg-Landau functional of the type \[ F_\varepsilon^{\mathrm{extr}}(u):=\frac{1}{2}\int_M \left|D u\right|_g^2 + \left|\mathscr{S} u\right|^2…