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From polynomial integrals of Hamiltonian flows to a model of non-linear elasticity (1212.0934v1)

Published 5 Dec 2012 in math.AP and nlin.SI

Abstract: We prove non existence of smooth solutions of a quasi-linear system suggested by Ericksen in a model of Nonlinear Elasticity. This system is of mixed elliptic-hyperbolic type. We discuss also a relation of such a system to polynomial integrals of Classical Hamiltonian systems.

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