[scala]

**Email:** *riccardo.scala AT unisi.it*

- G. Bellettini - A. Elshorbagy - R. Scala (Preprint)

The $L^1$-relaxed area of the graph of the vortex map: optimal upper bound (2024) - G. Bellettini - A. Elshorbagy - R. Scala (Preprint)

The $L^1$-relaxed area of the graph of the vortex map: optimal lower bound (2024) - M. Caroccia - R. Scala (Preprint)

On the singular planar Plateau problem (2024) - V. Crismale - L. De Luca - R. Scala (Preprint)

Approximation of topological singularities through free discontinuity functionals: the critical and super-critical regimes (2024) - G. Bellettini - A. Elshorbagy - R. Scala (Preprint)

Relaxation of the area of the vortex map: a non-parametric Plateau problem for a catenoid containing a segment (2024) - G. Bellettini - R. Marziani - R. Scala (
*Journal de l’École polytechnique — Mathématiques*)

A non-parametric Plateau problem with partial free boundary (2024) - G. Bellettini - R. Scala - G. Scianna (Preprint)

Upper bounds for the relaxed area of $S^1$-valued Sobolev maps and its countably subadditive interior envelope (2023) - G. Bellettini - S. Carano - R. Scala (Accepted Paper:
*Nonlinear Analysis*)

Relaxed area of graphs of piecewise Lipschitz maps in the strict $BV$-convergence (2023) - R. Scala - G. Scianna (Preprint)

On the $L^1$-relaxed area of graphs of $BV$ piecewise constant maps taking three values (2023) - G. Bellettini - S. Carano - R. Scala (
*ESAIM: Control, Optimization and Calculus of Variations*)

The relaxed area of $S^1$-valued singular maps in the strict $BV$-convergence (2022) - L. De Luca - R. Scala - N. Van Goethem (Accepted Paper:
*Indiana Univ. Math. J.*)

A new approach to topological singularities via a weak notion of Jacobian for functions of bounded variation (2022) - G. Bellettini - A. Elshorbagy - R. Scala (Preprint)

The $L^1$-relaxed area of the graph of the vortex map (2021) - A. Garroni - R. Marziani - R. Scala (
*SIAM J. Math. Anal.*)

Derivation of a line-tension model for dislocations from a nonlinear three-dimensional energy: the case of the quadratic growth (2021) - J. F. Rodrigues - R. Scala (Preprint)

Dynamics of a viscoelastic membrane with gradient constraint (2021) - I. Lucardesi - M. Morandotti - R. Scala - D. Zucco (
*Rend. Lincei Mat. Appl.*)

Upscaling of screw dislocations with increasing tangential strain (2020) - R. Scala - U. Stefanelli (Accepted Paper:
*Continuum Mechanics and Thermodynamics*)

Linearization for finite plasticity under dislocation-density tensor regularization (2020) - M. Negri - R. Scala (Preprint)

Existence, energy identity and higher time regularity of solutions to a dynamic visco-elastic cohesive interface model (2020) - S. Fanzon - M. Ponsiglione - R. Scala (
*Calculus of Variations and Partial Differential Equations*)

Uniform distribution of dislocations in Peierls-Nabarro models for semi-coherent interfaces (2020) - G. Bellettini - A. Elshorbagy - M. Paolini - R. Scala (Preprint)

On the relaxed area of the graph of discontinuous maps from the plane to the plane taking three values with no symmetry assumptions (2019) - D. Melching - R. Scala - J. Zeman (Preprint)

Damage model for plastic materials at finite strains (2018) - P. Gidoni - G. B. Maggiani - R. Scala (Preprint)

Existence and regularity of solutions for an evolution model of perfectly plastic plates (2018) - R. Scala - N. Van Goethem (Accepted Paper:
*Journal of Nonlinear Science*)

Variational evolution of dislocations in single crystals (2018) - R. Scala - N. Van Goethem (Accepted Paper:
*SIAM J. Math. Anal.*)

A variational approach to single crystals with dislocations (2018) - I. Lucardesi - M. Morandotti - R. Scala - D. Zucco (
*Riv. Mat. Univ. Parma*)

Confinement of dislocations inside a crystal with a prescribed external strain (2018) - R. Scala (Accepted Paper:
*Annali SNS*)

Optimal estimates for the triple junction function and other surprising aspects of the area functional (2017) - R. Scala - G. Schimperna (Preprint)

On the viscous Cahn-Hilliard equation with singular potential and inertial term (2016) - E. Rocca - R. Scala (Preprint)

A rigorous sharp interface limit of a diffuse interface model related to tumor growth (2016) - M. Negri - R. Scala (Preprint)

A quasi-static evolution generated by local energy minimizers for an elastic material with a cohesive interface (2016) - E. Bonetti - E. Rocca - R. Scala - G. Schimperna (Submitted Paper)

On the strongly damped wave equation with constraint (2015) - R. Scala - G. Schimperna (European Journal of Applied Mathematics)

A contact problem for viscoelastic bodies with inertial effects and unilateral boundary constraints (2015) - R. Scala (Accepted on Interfaces Free Bound.)

A weak formulation for a rate-independent delamination evolution with inertial and viscosity effects subjected to unilateral constraint (2015) - R. Scala - N. Van Goethem ( Accepted on Proc. A Royal Soc. Edinburgh )

Analytic and geometric properties of dislocation singularities (2015) - G. Dal Maso - R. Scala (
*Journal of Dynamics and Differential Equations*)

Quasistatic evolution in perfect plasticity as limit of dynamic processes (2014) - R. Scala - N. Van Goethem (accepted MAA)

Currents and dislocations at the continuum scale (2014) - R. Scala (COCV)

Limit of viscous dynamic processes in delamination as the viscosity and inertia vanish (2014) - G. B. Maggiani - R. Scala - N. Van Goethem (Mathematical Methods in Applied Sciences)

A compatible-incompatible decomposition of symmetric tensors in Lp with application to elasticity (2014) - R. Scala - N. Van Goethem (Preprint)

Dislocations at the continuum scale: functional setting and variational properties (2013)

*15 apr 2021:*Nonlocality features of the area functional and the Plateau problem*30 oct 2020:*Some recent developments in the problem of relaxation of the area functional

*1 dec 2023 - 2 dec 2023:*Curvature-driven geometric problems*29 sep 2023 - 29 sep 2023:*Brescia - Trento nonlinear day, 4° edition*29 may 2023 - 2 jun 2023:*Geometric Measure Theory, Bressanone 2023*16 may 2022 - 20 may 2022:*Beyond Elasticity: Advances and Research Challenges*21 feb 2022 - 25 feb 2022:*Free Boundary Problems and Related Evolution Equations*30 oct 2020 - 30 oct 2020:*Incontri di Analisi Matematica tra Firenze, Pisa e Siena

*31 jan 2024 - 2 feb 2024:*Calculus of Variations in Siena*10 oct 2018 - 12 oct 2018:*Topics in Nonlinear Analysis: Calculus of Variations and PDEs*20 aug 2018 - 24 aug 2018:*New trends in the variational modeling of failure phenomena