5 papers
A minimizing-movements approach to GENERIC systems
Ansgar Jüngel, Ulisse Stefanelli, Lara Trussardi
We present a new time discretization scheme adapted to the structure of GENERIC systems. The scheme is variational in nature and is based on a conditional incremental minimization.…
Nonlocal-to-local convergence of Cahn-Hilliard equations: Neumann boundary conditions and viscosity terms
Elisa Davoli, Luca Scarpa, Lara Trussardi
We consider a class of nonlocal viscous Cahn-Hilliard equations with Neumann boundary conditions for the chemical potential. The double-well potential is allowed to be singular (e.…
Degenerate nonlocal Cahn-Hilliard equations: well-posedness, regularity and local asymptotics
Elisa Davoli, Helene Ranetbauer, Luca Scarpa +1
Existence and uniqueness of solutions for nonlocal Cahn-Hilliard equations with degenerate potential is shown. The nonlocality is described by means of a symmetric singular kernel…
Two structure-preserving time discretizations for gradient flows
Ansgar Jüngel, Ulisse Stefanelli, Lara Trussardi
The equality between dissipation and energy drop is a structural property of gradient-flow dynamics. The classical implicit Euler scheme fails to reproduce this equality at the dis…
From nonlocal to local Cahn-Hilliard equation
Stefano Melchionna, Helene Ranetbauer, Luca Scarpa +1
In this paper we prove the convergence of a nonlocal version of the Cahn-Hilliard equation to its local counterpart as the nonlocal convolution kernel is scaled using suitable appr…