21 citations · 21 across the 2 of their papers we have counts for
4 papers
Generation via variational convergence of Balanced Viscosity solutions to rate-independent systems
Giovanni A. Bonaschi, Riccarda Rossi
In this paper we investigate the origin of the Balanced Viscosity solution concept for rate-independent evolution in the setting of a finite-dimensional space. Namely, given a fami…
Dynamics of screw dislocations: a generalised minimising-movements scheme approach
Giovanni A. Bonaschi, Patrick van Meurs, Marco Morandotti
The gradient flow structure of the model introduced in [CG99] for the dynamics of screw dislocations is investigated by means of a generalised minimising-movements scheme approach.…
Quadratic and rate-independent limits for a large-deviations functional
Giovanni A. Bonaschi, Mark A. Peletier
We construct a stochastic model showing the relationship between noise, gradient flows and rate-independent systems. The model consists of a one-dimensional birth-death process on…
Gradient flows driven by a non-smooth repulsive interaction potential
Giovanni A. Bonaschi
This thesis analyze the Wasserstein gradient flow of a functional defined as a double convolution of a non-smooth repulsive interaction potential. To be more precise, the potential…