We present new results on the stability of the Helmholtz equation with non-smooth and rapidly oscillating coefficients on bounded domains for the heterogeneous Helmholtz equation. Injectivity of the p...
Abstract: Collective decision-making in biological systems requires all individuals in the group to go through a behavioural change of state. During this transition, fast and robust transfer of ...
In questo seminario discuterò alcuni metodi numerici per equazioni di evoluzione, basati sulla trasformata di Laplace. Comincerò con l'applicazione diretta a problemi parabolici lineari, evidenziando ...
Questo lavoro è ispirato da esperimenti in laboratorio e da lavori modellistici che studiano il comportamento delle muffe (physarum policephalum) che si muovono all'interno di una rete alla ricerca di...
Abstract: We discuss an extension of some results, obtained by E. Serra and P. Tilli ('12,'16), concerning an original conjecture by E. De Giorgi ('96) on a purely minimization approach to the Cauchy ...
Abstract: Non uniform growth of thin sheets can lead to the formation of elaborate three-dimensional configurations and to induce non trivial shape transformations. In particular, complicated configur...
Abstract: We study a reversible continuous-time Markov dynamics on lozenge tilings of the torus, introduced by Luby et al. Single updates consist in concatenations of nn elementary lozenge rotations a...
Abstract: This talk concerns mathematical theory of the so-called Fluctuation Relation (FR) and Fluctuation Theorem (FT) in context of dynamical systems relevant to physics. The FR refers to a certain...
We shall consider the one-dimensional Saint-Venant equations for the numerical simulation of shallow water flows on a canals network. We assume that no source term is present and we deal with the deli...
