1107.4490 (Alberto Lovison et al.)

Finite Mechanical Proxies for a Class of Reducible Continuum Systems    [PDF]

Alberto Lovison, Franco Cardin

We present the exact finite reduction of a class of nonlinearly perturbed wave equations, based on the Amann-Conley-Zehnder paradigm. By solving an inverse eigenvalue problem, we establish an equivalence between the spectral finite description derived from A-C-Z and a discrete mechanical model, a well definite finite spring-mass system. By doing so, we decrypt the abstract information encoded in the finite reduction and obtain a physically sound proxy for the continuous problem.

View original: http://arxiv.org/abs/1107.4490