One of the main motivations behind derived differential geometry is to deal with singularities arising from zero loci or intersections of submanifolds. Both cases can be considered as fiber products o...
Gibbs measures for nonlinear dispersive PDEs have been used as a fundamental tool in the study of low-regularity almost sure well-posedness of the associated Cauchy problem following the pioneering wo...
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...
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...
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...
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...
During this talk we discuss the emergence of secular growths in the correlation functions of interacting quantum field theories when treated with perturbation methods. It is known in the literature th...
