Seminar
A generalization of the discrete Lagrange model of the vibrating string to the case of dimension > 1 of the spatial variable
4 November 2022
Start time
10:00 am
Polo Ferrari 1 - Via Sommarive 5, Povo (Trento)
Room A211
Organizer:
Dipartimento di Matematica
Target audience:
University community
Attendance:
Free
Contact person:
Prof. Marco Sabatini
Speaker:
Massimo Villarini (UniMORE - Università di Modena e Reggio Emilia)
Abstract:
A celebrated theorem of Lagrange defines a discrete model, only based on Newton's Second Law of dynamics, for the PDE describing the transversal motion of a string: such mechanicaI model is expressed through a family of second order ODEs, depending on a discretization parameter, whose solutions Lagrange proved to converge uniformly to the solutions of the PDE, as the discretization parameter tends to 0. Answering to a question posed by Gallavotti, we generalize this theorem to the case of n-dimensional space variable, n>1.