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Condizioni al bordo non omogenee per un modello di chemotaxis iperbolico-parabolico su reti con applicazione alle muffe

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...

De Giorgi's approach to hyperbolic Cauchy problems

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 ...

The Geometry and Mechanics of Growing Elastic Sheets

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...

Lozenge tiling dynamics and hydrodynamic equation

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...

Time and Entropy

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...

Runge-Kutta Discontinous Galerkin methods for shallow-water equations on a canals network

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...

Active-set Algorithmic Frameworks for Sparse Optimization

In the context of sparse optimization problems, being able to quickly identify the active set (i.e. the subset of zero components in an optimal solution) is becoming a crucial task as it can considera...

Metodi FEM-BEM di tipo spazio-tempo per la risoluzione di problemi di propagazione di onde in domini illimitati

In questo seminario presenterò problemi di propagazione di onde in domini illimitati bi e tridimensionali. Per la risoluzione di tali problemi mediante metodi FEM, considererò una condizione non rifle...