In the 1930s Sadowsky derived an asymptotic theory for narrow ribbons. We here provide a rigorous derivation of the generalized Sadowsky theory starting from nonlinear three-dimensional elasticity by means of Γ-convergence. On a technical level,…
Categoria evento: Analysis Seminar
A new gluing phenomenon for metrics of prescribed Q-curvature in dimension 6 – Luca Martinazzi (University of Basel)
Contrary to the Yamabe case, metric of prescribed Q-curvature (which we will briefly discuss) in dimension 4 and higher, can blow-up both on isolated points and on higher dimensional submanifolds, as discovered by Adimurthi, F. Robert and M. Struwe.…
Modelli matematici della visione e applicazioni al trattamento di immagini – Edoardo Provenzi (Università di Bordeaux)
In questo seminario presenterò alcuni modelli della visione a colori e la loro implementazione nell’ambito del trattamento di immagini digitali. Comincerò con una formulazione variazionale in ambito discreto, seguita da un modello di statistica…
On the existence of solutions to weakly coupled elliptic system with critical growth – Angela Pistoia (Università la Sapienza, Roma)
Titolo On the existence of solutions to weakly coupled elliptic system with critical growth Abstract We consider a critical weakly coupled elliptic systems in a domain D in R^N with N=3,4 or in the whole space. We prove the existence of positive…
Il teorema di Szego – Alexander Bufetov (CNRS I2M, Marseille and Steklov Mathematical Institute, Moscow )
#ENG Gabor Szego proved the first version of this theorem when he was 20, and he proved it in a stronger version when he was 57. He established asymptotic properties of Toeplitz determinants which nowadays are of crucial importance in many fields.…
Limiting behaviour of rescaled nonlocal perimeters and of their first variations. – Valerio Pagliari (Universita’ di Pisa)
We introduce a class of integral functionals known as nonlocal perimeters, which can be thought as interactions between a set and its complement that are weighted by a positive kernel. In the first part of the talk, we summarise the main features of…
A Phase Field Model for Thin Elastic Structures with Topological Constraint – Patrick Dondl (Universita’ di Freiburg)
With applications in the area of biological membranes in mind, we consider the problem of minimizing Willmore’s energy among the class of closed, connected surfaces with given surface area that are confined to a fixed container. Based on a phase…
Duality for the W_\\infty Wasserstein distance – Luigi De Pascale (Universita’ di Firenze)
I will first give a short survey to recall the importance of convexity in the classical Monge problem. I will then introduce the $W_\infty$ Wasserstein distance and discuss the lack of convexity of the underlying problem. The next step will be to…
A variational approach to the mean field planning problem – Carlo Orrieri (Univ. “La Sapienza”)
In the talk we introduce the so-called mean field planning problem: a coupled system of PDEs, a forward continuity equation and a backward Hamilton-Jacobi equation. The problem can be viewed as a modification of the mean field games system as well…
On the scaling limit of Onsager’s molecular model for liquid crystals – Yuning Liu (NYU University at Shanghai)
We study the small Deborah number limit of the Doi-Onsager equation for the dynamics of nematic liquid crystals. This is a Smoluchowski-type equation that characterizes the evolution of a number density function, depending upon both particle…