Finite mechanical proxies for a class of reducible continuum systems | Zendy

Franco Cardin | Zendy; Alberto Lovison | Zendy

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Finite mechanical proxies for a class of reducible continuum systems

Author(s) -

Franco Cardin,

Alberto Lovison

Publication year - 2014

Publication title -

networks and heterogeneous media

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.732

H-Index - 34

eISSN - 1556-181X

pISSN - 1556-1801

DOI - 10.3934/nhm.2014.9.417

Subject(s) - eigenvalues and eigenvectors , mathematics , class (philosophy) , equivalence (formal languages) , inverse problem , finite set , mathematical analysis , pure mathematics , physics , computer science , quantum mechanics , artificial intelligence

We present the exact finite reduction of a class of nonlinearly perturbed wave equations -typically, a non-linear elastic string- 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

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