R. Rossi, G. Savaré:
Tightness-Concentration Principles and Compactness for Evolution Problems in Banach Spaces
Annali Scuola Normale Superiore - Pisa (Accepted Paper) 2002
R. Rossi, G. Savaré:
Gradient flows of non convex functionals in Hilbert spaces and applications
ESAIM: COCV (Accepted Paper) 2005
A. Mielke, R. Rossi:
Existence and uniqueness results for a class of rate-independent hysteresis problems
Math. Models Methods Appl. Sci. Vol. 17, p. 81-123, 2007
R. Rossi, A. Segatti, U. Stefanelli:
Attractors for gradient flows of non convex functionals and applications
Arch. Ration. Mech. Anal. Vol. 187, p. 91-135, 2008
A. Mielke, R. Rossi, G. Savaré:
Modeling solutions with jumps for rate-independent systems on metric spaces
Discrete Contin. Dyn. Syst. (Accepted Paper) 2008
A. Mielke, R. Rossi, G. Savaré:
A metric approach to a class of doubly nonlinear evolution equations and applications
Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) Vol. 7, p. 97-169, 2008
A. Mielke, R. Rossi, G. Savaré:
BV solutions and viscosity approximations of rate-independent systems
(Submitted Paper) 2009
R. Rossi, T. Roubicek:
Thermodynamics and analysis of rate-independent adhesive contact at small strains
(Submitted Paper) 2010
A. Mielke, R. Rossi, G. Savaré:
Nonsmooth analysis of doubly nonlinear evolution equations
(Submitted Paper) p. 45, 2011
R. Rossi, G. Savaré:
A characterization of Energetic and BV solutions to one-dimensional rate-independent systems
(Submitted Paper) 2011
E. Bonetti, G. Bonfanti, R. Rossi:
Analysis of a unilateral contact problem taking into account adhesion and friction
(Submitted Paper) 2011
R. Rossi, A. Segatti, U. Stefanelli:
Global attractors for gradient flows in metric spaces
J. Math. Pures Appl. (9) Vol. 95, N. 2, p. 204--244, 2011
R. Rossi, M. Thomas:
From an adhesive to a brittle delamination model in thermo-visco-elasticity
(Submitted Paper) 2012
A. Mielke, R. Rossi, G. Savaré:
Variational convergence of gradient flows and rate-independent evolutions in metric spaces
Milan J. Math. (Accepted Paper) 2012
E. Bonetti, G. Bonfanti, R. Rossi:
Analysis of a temperature-dependent model for adhesive contact with friction
(Submitted Paper) 2012
T. Roche, R. Rossi, U. Stefanelli:
Stability results for doubly nonlinear differential inclusions by variational convergence
(Submitted Paper) 2013
A. Mielke, R. Rossi, G. Savaré:
Balanced Viscosity (BV) solutions to infinite-dimensional rate-independent systems
(Submitted Paper) 2013
V. Agostiniani, R. Rossi, G. Savaré:
On the transversality conditions and their genericity}
(Submitted Paper) 2013
D. Knees, R. Rossi, C. Zanini:
A vanishing viscosity approach to a rate-independent damage model
Mathematical Models and Methods in Applied Sciences Vol. 23, N. 4, p. 565-616, 2013
E. Rocca, R. Rossi:
A degenerating PDE system for phase transitions and damage
Math. Models Methods Appl. Sci. Vol. 24, p. 1265-1341, 2014
E. Bonetti, G. Bonfanti, R. Rossi:
Analysis of a model coupling volume and surface processes in thermoviscoelasticity
(Submitted Paper) 2014
A. Mielke, R. Rossi, G. Savaré:
Balanced-Viscosity solutions for multi-rate systems
(Submitted Paper) 2014
R. Rossi, M. Thomas:
Coupling rate-independent and rate-dependent processes: existence results
(Submitted Paper) 2015
E. Rocca, R. Rossi:
``Entropic'' solutions to a thermodynamically consistent PDE system for phase transitions and damage
SIAM J. MATH. ANAL. Vol. 47, N. 4, p. 2519-2586, 2015
C. Heinemann, C. Kraus, E. Rocca, R. Rossi:
A temperature-dependent phase-field model for phase separation and damage
(Submitted Paper) 2015
D. Knees, R. Rossi, C. Zanini:
A quasilinear differential inclusion for viscous and rate-independent damage systems in non-smooth domains
Nonlinear Analysis Series B: Real World Applications Vol. 24, p. 126-162, 2015
R. Rossi, M. Thomas:
From Adhesive to Brittle Delamination in Visco-Elastodynamics
(Submitted Paper) 2016
G. Lazzaroni, R. Rossi, M. Thomas, R. Toader:
Some remarks on a model for rate-independent damage in thermo-visco-elastodynamics
Journal of Physics: Conference Series Vol. 727, p. 012009, 2016
A. Mielke, R. Rossi, G. Savaré:
Global existence results for viscoplasticity at finite strain
(Submitted Paper) 2016
R. Rossi:
Existence results for a coupled viscoplastic-damage model in thermoviscoelasticity
(Submitted Paper) 2016
R. Rossi, G. Savaré:
From Visco-Energetic to Energetic and Balanced Viscosity solutions of rate-independent systems
(Submitted Paper) 2017
D. Knees, R. Rossi, C. Zanini:
Balanced Viscosity solutions to a rate-independent system for damage
(Submitted Paper) 2017
R. Rossi, M. Thomas:
From nonlinear to linear elasticity in a coupled rate-dependent/independent system for brittle delamination
(Submitted Paper) 2017
V. Agostiniani, R. Rossi:
Singular vanishing-viscosity limits of gradient flows: the finite-dimensional case
J. Differential Equations p. 78157855, 2017
R. Rossi, G. Savaré, A. Segatti, U. Stefanelli:
Weighted Energy-Dissipation principle for gradient flows in metric spaces
(Submitted Paper) 2018
R. Rossi:
From visco to perfect plasticity in thermoviscoelastic materials
Zeitschrift fur Angewandte Mathematik und Mechanik (Accepted Paper) 2018
G. Lazzaroni, R. Rossi, M. Thomas, R. Toader:
Rate-independent damage in thermo-viscoelastic materials with inertia
J. Dynam. Differential Equations Vol. 30, p. 1311-1364, 2018
R. Rossi:
Visco-Energetic solutions to some rate-independent systems in damage, delamination, and plasticity
Mathematical Models and Methods in the Applied Sciences (Accepted Paper) 2019
R. Rossi, U. Stefanelli, M. Thomas:
Rate-independent evolution of sets
(Submitted Paper) 2019
G. A. Bonaschi, R. Rossi:
Generation of Balanced Viscosity solutions to rate-independent systems via variational convergence
Annali di Matematica Pura ed Applicata (Accepted Paper) 2019
M. A. Peletier, R. Rossi, G. Savaré, O. Tse:
Jump processes as Generalized Gradient Flows
(Submitted Paper) 2020
V. Crismale, R. Rossi:
Balanced Viscosity solutions to a rate-independent coupled elasto-plastic damage system
SIAM J. Math. Anal. Vol. 53, N. 3, 2021
G. Dal Maso, R. Rossi, G. Savaré, R. Toader:
Visco-energetic solutions for a model of crack growth in brittle materials
Ann. Scuola Norm. Sup. Pisa Cl. Sci. (Accepted Paper) 2021
A. Mielke, R. Rossi:
Balanced-Viscosity solutions to infinite-dimensional multi-rate systems
Arch. Ration. Mech. Anal. 2021
G. Bonfanti, M. Colturato, R. Rossi:
Global existence for a highly nonlinear temperature-dependent system modeling nonlocal adhesive contact
Nonlinear Anal. Real World Appl. Vol. 66, p. 64, 2022
V. Crismale, G. Lazzaroni, R. Rossi:
Singular limits of a coupled elasto-plastic damage system as viscosity and hardening vanish
Ann. Mat. Pura Appl. Vol. 202, p. 1271-1312, 2023
A. Mielke, R. Rossi, A. Stephan:
On time-splitting methods for gradient flows with two dissipation
mechanisms
(preprint) 2023
R. Rossi, G. Savaré:
Abstract Action Spaces and their topological and dynamic properties
(preprint) 2023
G. Bonfanti, E. Davoli, R. Rossi:
A coupled rate-dependent/rate-independent system for adhesive contact in Kirchhoff-Love plates
(Submitted Paper) 2023
V. Crismale, G. Lazzaroni, R. Rossi:
On the visco-plastic approximation of a rate-independent coupled elastoplastic damage model
(preprint) 2023