Massimo Villarini
Published 2023-07-12Version 1
A celebrated theorem of Lagrange states that a solution of the wave equation with one-dimensional space variable is the uniform limit, as N tends to infinity, of a second order ODE obtained from a mechanical model discretizing a string as N identical harmonic oscillators. Answering to a question posed by G. Gallavotti we generalize this result to the case of any space dimension.
Waves along fractal coastlines: From fractal arithmetic to wave equations
Stabilization of the wave equation with moving boundary
Existence and uniqueness of limit cycles in a class of second order ODE's with inseparable mixed terms
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