We consider in this talk the celebrated Brézis-Nirenberg equation in the non-coercive case $\lambda > \Lambda_1$, where $\Lambda_1$ is the first eigenvalue of the Laplacian on a bounded open set of...
Motivated by the study of periodic Hamiltonians enjoying chiral or particle-hole symmetry, like the SSH model or the Kitaev chain, we present a topological study of families of symmetric functions fro...
We present kinetic type methods able to approximate compressible type flow, with or without viscous and thermal effects. Many numerical example illustrate the methods and show effectiveness. The work ...
For algebraic actions of finite groups on singular complex algebraic varieties, equivariant Hirzebruch characteristic classes have been defined by Cappell, Maxim, Schürmann and Shaneson. The correspon...
In this paper, we explore the use of the Virtual Element Method concepts to solve scalar and system hyperbolic problems on general polygonal grids. The new schemes stem from the active flux approach [...
Following in the footsteps of Marco Polo, this workshop seeks to foster mathematical collaboration and exchange between China and Italy. It will showcase research from the Mathematics Departments of N...
Following in the footsteps of Marco Polo, this workshop seeks to foster mathematical collaboration and exchange between China and Italy. It will showcase research from the Mathematics Departments of N...
In this talk, we introduce a family of functionals approximating the conformally invariant Dirichlet n-energy of maps between two Riemannian manifolds $(M^n,g)$ and $(N,h)$, which admit critical point...
This talk is about large deviations for solutions to quasilinear SPDEs with small Gaussian noise. We consider a general variational framework for SPDEs. The large deviation principle (LDP) has been su...
Typically, the theory of open quantum systems studies the dynamics of the reduced state (density operator) of the system. However, in the early stages of evolution, it is impossible to separate the re...
The talk will discuss a stability property for Boltzmann type equations, including cases of quantum quasi/particles. It will focus on general, discrete velocity equations. The result implies exi...
