13 citations · 26 across the 11 of their papers we have counts for
11 papers
A rigorous approach to the sharp interface limit for phase-field models of tumor growth
Filippo Riva, Elisabetta Rocca
In this paper we consider two diffuse interface models for tumor growth coupling a Cahn-Hilliard type equation for the tumor phase parameter to a reaction-diffusion type equation f…
Inertial Balanced Viscosity (IBV) solutions to infinite-dimensional rate-independent systems
Filippo Riva, Giovanni Scilla, Francesco Solombrino
A suitable notion of weak solution to infinite-dimensional rate-independent systems, called Inertial Balanced Viscosity (IBV) solution, is introduced. The key feature of such notio…
Energetic evolutions for linearly elastic plates with cohesive slip
Filippo Riva
A quasistatic model for a horizontally loaded thin elastic composite at small strains is studied. The composite consists of two adjacent plates whose interface behaves in a cohesiv…
Pressure live loads and the variational derivation of linear elasticity
Maria Giovanna Mora, Filippo Riva
The rigorous derivation of linear elasticity from finite elasticity by means of Gamma-convergence is a well-known result, which has been extended to different models also beyond th…
On the wave equation on moving domains: regularity, energy balance and application to dynamic debonding
Giuliano Lazzaroni, Riccardo Molinarolo, Filippo Riva +1
We revisit some issues about existence and regularity for the wave equation in noncylindrical domains. Using a method of diffeomorphisms, we show how, through increasing regularity…
The notions of Inertial Balanced Viscosity and Inertial Virtual Viscosity solution for rate-independent systems
Filippo Riva, Giovanni Scilla, Francesco Solombrino
The notion of Inertial Balanced Viscosity (IBV) solution to rate-independent evolutionary processes is introduced. Such solutions are characterized by an energy balance where a sui…
A vanishing inertia analysis for finite dimensional rate-independent systems with nonautonomous dissipation, and an application to soft crawlers
Paolo Gidoni, Filippo Riva
We study the approximation of quasistatic evolutions, formulated as abstract finite-dimensional rate-independent systems, via a vanishing-inertia asymptotic analysis of dynamic evo…
On a phase--field model of damage for hybrid laminates with cohesive interface
Elena Bonetti, Cecilia Cavaterra, Francesco Freddi +1
In this paper we investigate a rate--independent model for hybrid laminates described by a damage phase--field approach on two layers coupled with a cohesive law governing the beha…
On the approximation of quasistatic evolutions for the debonding of a thin film via vanishing inertia and viscosity
Filippo Riva
In this paper we contribute to studying the issue of quasistatic limit in the context of Griffith's theory by investigating a one-dimensional debonding model. It describes the evol…
A continuous dependence result for a dynamic debonding model in dimension one
Filippo Riva
In this paper we address the problem of continuous dependence on initial and boundary data for a one-dimensional debonding model describing a thin film peeled away from a substrate…
Existence and uniqueness of dynamic evolutions for a one-dimensional debonding model with damping
Filippo Riva, Lorenzo Nardini
In this paper we analyse a one-dimensional debonding model for a thin film peeled from a substrate when viscosity is taken into account. It is described by the weakly damped wave e…