4 papers
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…
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…
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…