Biomembranes are remarkable structures with both fluid-like and solid-like properties: the main constituents are amphiphilic lipids, which have a head part that attracts water and a tail part that repels it. Because of these properties, such lipids…
Categoria evento: Analysis Seminar
Optimal control problems in transport dynamics – Mattia Bongini (TUM )
In this talk we shall discuss several results concerning the \it{indirect control of populations}, i.e., how to influence a group of individuals by means of external agents with a directly controlled dynamics. By using the general theory of…
“Ground states per energie tipo NLS su grafi metrici” – Paolo Tilli
We investigate the existence of ground states for a focusing NLS functional with a power nonlinearity over a metric graph (i.e. a one-dimensional network made up of finite intervals and/or half-lines, glued together according to the topology of a…
Ground states and Excitation Spectrum of Bosonic Quantum Many-Body Systems – Robert Seiringer
Many questions concerning models in quantum mechanics require a detailed analysis of the spectrum of the corresponding Hamiltonian, a linear operator on a suitable Hilbert space. Of particular relevance for an understanding of the low-temperature…
On the set of conformal scalar-flat metrics on manifolds with boundary – Sergio Almaraz (UFF – Universidade Federal Fluminense, Brazil)
Let (M, g) be a compact Riemannian manifold with boundary. In this talk I will be interested in the set of scalar-flat metrics on M which are in the conformal class of g and have the boundary as a constant mean curvature hypersurface. I will mainly…
A direct approach to Plateau’s problem. – Francesco Ghiraldin
I will present a direct approach to solve the the Plateau problem. The problem is formulated as the minimization of the Hausdorff measure among a family of d-rectifiable closed subsets of $R^n$: the existence result is obtained by a compactness…
“Shape optimization problems with Robin conditions on the free boundary” – Dorin Bucur (Université de Savoie, France)
Motivated by spectral optimization problems, we provide a free discontinuity approach to a class of shape optimization problems involving Robin conditions on the free boundary. More precisely, we identify a large family of domains on which such…
“On the first nontrivial Neumann eigenvalue of the infinity Laplacian” – Carlo Nitsch (Università Federico II, Napoli)
The first nontrivial eigenfunction of the Neumann eigenvalue problem for the p-Laplacian converges, as $p$ goes to $\infty$, to a viscosity solution of a suitable eigenvalue problem for the $\infty$-Laplacian. We show among other things that the…
Perturbations of variational evolutions – Andrea Braides (Universita’ di Roma “Tor Vergata)
The notion of minimizing movement (Almgren-Taylor-Wang, De Giorgi), which has been used to give a general definition of gradient flow (Ambrosio-Gigli-Savaré) can also be used to study a “homogenized” motion for a family of functionals depending on a…
Lipschitz Metrics for Nonlinear Wave Equations – Alberto Bressan (Penn State University)
The talk is concerned with some classes of nonlinear wave equations: of first order, such as the Camassa-Holm equation, or of second order, as the variational wave equation $u_{tt} – c(u) (c(u)u_x)_x=0$. In both cases, it is known that the equations…