Deadline: 30 apr 2014
TITLE: Analisi di sistemi in equilibrio e loro fluttuazioni con metodi variazionali (Analysis of equilibrium systems and their fluctuations with variational methods)
RESEARCH GROUP: Nadia Ansini, Lorenzo Bertini, Alessandra Faggionato, Adriana Garroni, Mauro Mariani, Marcello Ponsiglione, Adriano Pisante
TOPICS: Calculus of Variations and Statistical Machanics. The goal of this research is to investigate mathematical problems in Calculus of Variations and Statistical Mechanics, concerning the analysis and modeling of equilibrium systems, minimal energy configurations and their statistical fluctuations. Possible research themes are variational models for phase transitions and topological singularities, discrete-to-continuum limits in such models, e.g. for dislocations in crystals and for vortices in superconductors, analysis of statistical fluctuations in non equilibrium mechanics, and dynamics through gradient flows and minimizing movements schemes. The research will be a joint activity together with members of the research unit: Nadia Ansini, Lorenzo Bertini, Alessandra Faggionato, Adriana Garroni, Mauro Mariani, Marcello Ponsiglione and Adriano Pisante.