Research

The preprint version of all my articles is available here 

Preprints

1. D. Mazzoleni, E. Radici and F. Riva, On a degenerate second order traffic model: existence of discrete evolutions, deterministic many-particle limit and first order approximation
   arXiv:2404.09834 (2024)

2.  F. Riva and E. Rocca, A rigorous approach to the sharp interface limit for phase-field models of tumor growth
   arXiv:2402.19156 (2024)

3.  F. Riva, G. Scilla and F. Solombrino, Inertial Balanced Viscosity (IBV) solutions to infinite-dimensional rate-independent systems
   arXiv:2306.12248 (2023)

Published papers

1. F. Riva, Energetic evolutions for linearly elastic plates with cohesive slip
   Nonlinear Analysis: Real World Applications (2023), Volume 74, n. 103934

2. M. G. Mora and F. Riva, Pressure live loads and the variational derivation of linear elasticity
   Proceedings of the Royal Society of Edinburgh. Section A. Mathematics (2023), Volume 153, Issue 6, pp. 1929-1964

3. G. Lazzaroni, R. Molinarolo, F. Riva and F. Solombrino, On the wave equation on moving domains: regularity, energy balance and application to dynamic debonding
   Interfaces and Free Boundaries (2023), Volume 25, Issue 3, pp. 401-454

4. F. Riva, G. Scilla and F. Solombrino, The notions of Inertial Balanced Viscosity and Inertial Virtual Viscosity solution for rate-independent systems
   Advances in Calculus of Variations (2022), Volume 6, Issue 4, pp. 903-934

5. E. Bonetti, C. Cavaterra, F. Freddi and F. Riva,  On a phase-field model of damage for hybrid laminates with cohesive interface
   Mathematical Methods in the Applied Sciences (2021), Volume 45, Issue 7, pp. 3520-3553

6. P. Gidoni and F. Riva,  A vanishing inertia analysis for finite dimensional rate-independent systems with non-autonomous dissipation and an application to soft crawlers
   Calculus of Variations and Partial Differential Equations (2021), Volume 60, Issue 5, n. 191

7. F. Riva,  On the approximation of quasistatic evolutions for the debonding of a thin film via vanishing inertia and viscosity
   Journal of Nonlinear Science (2020), Volume 30, Issue 3, pp. 903-951

8. F. Riva,  A continuous dependence result for a dynamic debonding model in dimension one
   Milan Journal of Mathematics (2019), Volume 87, Issue 2, pp. 315–350

9. F. Riva and L. Nardini, Existence and uniqueness of dynamic evolutions for a one-dimensional debonding model with damping
   Journal of Evolution Equations (2021), Volume 21, Issue 1, pp. 63-106

PhD Thesis

F. Riva, On the quasistatic limit of some dynamical problems with dissipative terms
IRIS SISSA  Digital Library (2020)

Grants

INdAM-GNAMPA Project 2022: MATERIA - Metodi Analitici nella Trattazione di Evoluzioni Rate-independent e Inerziali e Applicazioni