The dynamics of variable-in-shape drug particles are fundamental to predict the dissolution of drugs in a fluid. In this talk we propose a new approach which consists of describing the dissolution pro...
We present a survey of nonlinear elliptic equations with nonlocal interactions. These equations describe the collective behavior of self-interacting many-body systems at different scales, from atoms a...
I will first present a convergence result for solutions of Allen-Cahn type systems with a multiple-well potential involving the usual fractional Laplacian in the regime of the so-called nonlocal mini...
Like many discrete statistical mechanics models, stochastic PDEs can exhibit a “critical dimension” beyond which their large-scale behaviour is expected to be trivial (i.e. governed by Gaussian fluctu...
We model the uncertainties in (random) coefficient functions of an elliptic partial differential equation by expanding these coefficients as function series with scalar random coefficients. This gives...
Traffic flow and pedestrian crowds are complex phenomena characterised by different collective dynamics. Inspired by recent work in control engineering by Knorn et al. and Matei et al., we explore the...
The classical Stepanov theorem strengthens the Rademacher theorem by establishing almost-everywhere differentiability for pointwise Lipschitz functions into Euclidean spaces. In this seminar, I will d...
In this talk, we present a general existence result to the problem of prescribing curvatures on a disk under conformal changes of the metric. We treat the case of negative Gaussian curvature, as a fir...
IT: Presenteremo lo stato dell'arte sul problema della regolarità delle curve minime della lunghezza in varietà sub-Riemanniane, un problema aperto da almeno 40 anni. Il seminario avrà un carattere...
We consider a family of processes obtained by decomposing the deterministic dynamics associated with some fluid models (e.g. Lorenz 96, 2d Galerkin-Navier-Stokes) into fundamental building blocks - i....
We produce complete, non-compact, Riemannian metrics with positive constant \sigma_2-curvature on a sphere of dimension n>4, with a prescribed singular set given by a disjoint union of closed subma...
