46 citations · 66 across the 10 of their papers we have counts for
11 papers
Asymptotic analysis for the Stefan problem with a doubly nonlinear phase relaxation
Vincenzo Recupero, Chiara Zanini
In this paper we consider the Stefan problem endowed with a doubly nonlinear phase relaxation. More precisely we assume that the rate of convergence of the phase function depends o…
Existence of parameterized BV-solutions for rate-independent systems with discontinuous loads
Dorothee Knees, Chiara Zanini
We study a rate-independent system with non-convex energy and in the case of a time-discontinuous loading. We prove existence of the rate-dependent viscous regularization by time-i…
Balanced Viscosity solutions to a rate-independent system for damage
Dorothee Knees, Riccarda Rossi, Chiara Zanini
This article is the third one in a series of papers by the authors on vanishing-viscosity solutions to rate-independent damage systems. While in the first two papers [KRZ13, KRZ15]…
Which residual mode captures the energy of the dominating mode in second order Hamiltonian systems?
E. Berchio, F. Gazzola, C. Zanini
Motivated by the instability of suspension bridges, we consider a class of second order Hamiltonian systems where one component initially holds almost all the energy of the system.…
Quasistatic evolution of magnetoelastic thin films via dimension reduction
Martin Kružík, Ulisse Stefanelli, Chiara Zanini
A rate-independent model for the quasistatic evolution of a magnetoelastic thin film is advanced and analyzed. Starting from the three-dimensional setting, we present an evolutiona…
A quasilinear differential inclusion for viscous and rate-independent damage systems in non-smooth domains
Dorothee Knees, Riccarda Rossi, Chiara Zanini
This paper focuses on rate-independent damage in elastic bodies. Since the driving energy is nonconvex, solutions may have jumps as a function of time, and in this situation it is…