From polynomial integrals of Hamiltonian flows to a model of non-linear elasticity
classification
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nlin.SI
keywords
systemelasticityhamiltonianintegralsmodelpolynomialclassicaldiscuss
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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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