Email: riccardo.scala AT unisi.it

Available papers (37):

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• 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)
• 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)
• M. Caroccia - R. Scala (Accepted Paper: Calculus of Variation and PDEs)
  On the singular planar Plateau problem (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)

Seminars:

• 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

Speaker:

• 27 jan 2025 - 31 jan 2025: Geometric Measure Theory in Trento
• 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

Organizer:

• 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