We are interested in obtaining local nets in the sense of Haag--Kastler from unitary representations of a connected Lie group G. A natural sets of axioms naturally leads to a causal structure on M. We...
I shall discuss the existence of infinite-dimensional invariant tori in a mechanical system made of infinitely many rotators weakly interacting with each other. I shall concentrate on interactions de...
We study a geometric/combinatorial characterisation of supports for linear degenerations of flag varieties in an attempt to determine the coefficients of the decomposition theorem. We show that it beh...
In this talk, I will present recent results in collaboration with Esther Cabezas-Rivas and Marcos Solera (U. Valencia) concerning the analogous to the inverse mean curvature flow in the presence of an...
Dynamic boundary conditions play an essential role in acurately modeling complex physical interactions on the boundary. In this lecture we explain the role of dynamic boundary conditions in modeling d...
Think of \begin{center} \( u_{tt} + 2au_t + Au = 0 \) \end{center} as a wave equation. Bounded solutions of this equation tend to solutions of the heat equation \begin{center} \( 2av_t + Av = 0. \) \e...
In this talk we describe the influence of the initial data and the forcing terms on the regularity of the solutions to a class of evolution equations including the heat equation, linear and semilinear...
Energy density and its positivity properties represent a fundamental subject in classical and quantum physics. In this talk, we will investigate this topic in the thermal representation of a free mass...
Semi-Lagrangian schemes are characteristic-based methods for the numerical solution of hyperbolic partial differential equations (PDEs), which maintain stability under large Courant numbers.However, t...
