Venue Sala Seminari (Dip. Matematica). Abstract…
Categoria evento: Analysis Seminar
An exact self-similar solution to a branched transport problem – Michael Goldman (CNRS, Laboratoire Jacques-Louis Lions)
In this talk I will show how one can exactly compute the minimizer of a variant of branched transportation arising as a simplified model for pattern formation in type-I superconductors. The proof relies on the natural scaling properties of the…
A variational approach to nonlocal curvature motions and to the crystalline mean curvature flow – Massimiliano Morini (Universita’ di Parma)
In the first part of the talk I will present a comprehensive theory that covers in a unified way a rather large class of (possibly) nonlocal geometric flows bearing a gradient flow structure with respect to suitable generalized perimeters. Within…
On the quantitative Bossel-Daners Inequality – Cristina Trombetti (Universita’ di Napoli Federico II)
The Bossel-Daners is a Faber-Krahn type inequality for the first Laplacian eigenvalue with Robin boundary conditions. We prove a stability result for such inequality.…
Hyperbolic Boundary Value Problems with Trihedral Corners – J. Rauch (Michigan)
Venue Sala Seminari (Dip. Matematica). Abstract…
Optimizing the fractional power of a Diffusion operator – Carina Geldhauser
We study an optimization problem with SPDE constraints, which has the peculiarity that the control parameter $s$ is the $s$-th power of the diffusion operator in the state equation. Before moving to the SPDE case, we first describe the result of…
Numerical study of 1D optimal structures – Edouard Oudet (Université Grenoble Alpes)
We focus our attention on shape optimization problems in which one dimensional connected objects are involved. Very old and classical problems in calculus of variation are of this kind: euclidean Steiner’s tree problem, optimal irrigation networks,…
An introduction to the Kuramoto model for synchronization – Debota Amadori (universita’ de L’Aquila)
We consider the Kuramoto model, originally proposed to describe a set of N oscillators coupled through their phase, and its kinetic version obtained in the mean-field limit. After a review of the basic properties of the discrete system, we will…
Anisotropic energies in Geometric Measure Theory. – Antonio De Rosa (Universita’ di Zurigo)
We present our recent extension of Allard’s celebrated rectifiability theorem to the setting of varifolds with locally bounded first variation with respect to an anisotropic integrand. In partic- ular, we identify a necessary and sufficient…
Bodies of minimal aerodynamic resistance with a relaxed convexity constraint. – Edoardo Mainini (Universita’ di Genova)
We characterize the solution to the Newton minimal resistance problem in a specific class of hollow profiles, satisfying a q-concavity condition. We treat two-dimensional bodies and radially symmetric three-dimensional bodies.…