SISSA OpenScience

SISSA Open Science is a digital repository providing free, open access to SISSA academic scientific production before it is refereed, according to SISSA Regulation on open access (approved in December, 2016).

This repository includes SISSA preprints, unpublished proceedings of conferences held in SISSA, lecture notes and presentations by SISSA professors.

If you want to include one or more of the aforementioned documents in the SISSA Open Science repository, please send your pdf file to library@sissa.it.

Before posting your preprint, remember to check your publisher's policy in the SHERPA/RoMEO database.

 

Communities in DSpace

Select a community to browse its collections.

Now showing 1 - 4 of 4

Recent Submissions

Thumbnail Image
Item
Homogenisation of vectorial free-discontinuity functionals with cohesive type surface terms
(2024-09-12) Dal Maso, Gianni; Donati, Davide
The results on Γ-limits of sequences of free-discontinuity functionals with bounded cohesive surface terms are extended to the case of vector-valued functions. In this framework, we prove an integral representation result for the Γ-limit, which is then used to study deterministic and stochastic homogenisation problems for this type of functionals.
Thumbnail Image
Item
On the Symmetry TFT of Yang–Mills–Chern–Simons theory
(2024-04-04) Riccardo Argurio, Francesco Benini, Matteo Bertolini, Giovanni Galati, Pierluigi Niro
Three-dimensional Yang–Mills–Chern–Simons theory has the peculiar property that its one-form symmetry defects have non-trivial braiding, namely they are charged under the same symmetry they generate, which is then anomalous. This poses a few puzzles in describing the corresponding Symmetry TFT in a four-dimensional bulk. First, the braiding between lines at the boundary seems to be ill-defined when such lines are pulled into the bulk. Second, the Symmetry TFT appears to be too trivial to allow for topological boundary conditions encoding all the different global variants. We show that both of these puzzles can be solved by including endable (tubular) surfaces in the lass of bulk topological operators one has to consider. In this way, we are able to reproduce all global variants of the theory, with their symmetries and their anomalies. We check the validity ofour proposal also against a top-down holographic realization of the same class of theories.
Thumbnail Image
Item
A closure theorem for gAMMA-convergence and H-convergence with applications to non-periodic homogenization
(2024-02-29) Braides, Andrea; Dal Maso, Gianni; Le Bris, Claude
In this work we examine the stability of some classes of integrals, and in particular with respect to homogenization. The prototypical case is the homogenization of quadratic energies with periodic coe cients perturbed by a term vanishing at in nity, which has been recently examined in the framework of elliptic PDE.We use localization techniques and higher-integrability Meyers-type results to provide a closure theorem by gamma-convergence within a large class of integral functionals. From such result we derive stability theorems in homogenization which comprise the case of perturbations with zero average on the whole space. The results are also extended to the stochastic case, and specialized to the G-convergence of operators corresponding to quadratic forms. A corresponding analysis is also carried on for non-symmetric operators using the localization properties of H-convergence. Finally, we treat the case of perforated domains with Neumann boundary condition, and their stability.
Thumbnail Image
Item
EXISTENCE AND BLOW-UP FOR NON-AUTONOMOUS SCALAR CONSERVATION LAWS WITH VISCOSITY
(2023-11-23) Bianchini, Stefano; Leccese, Giacomo Maria
We consider a question posed in [1], namely the blow-up of the PDE ut + (b(t, x)u1+k)x = uxx when b is uniformly bounded, Lipschitz and k = 2. We give a complete answer to the behavior of solutions when b belongs to the Lorentz spaces b ∈ Lp,∞, p ∈ (2,∞], or bx ∈ Lp,∞, p ∈ (1,∞].
Thumbnail Image
Item
Marie Slodowska Curie Actions Postdoctoral Fellowship (PF)
(2023-08-31) de Luca, Mariarita