From polynomial integrals of Hamiltonian flows to a model of non-linear elasticity

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.

14p, comments are welcome. arXiv admin note: text overlap with arXiv:1204.4397