From polynomial integrals of Hamiltonian flows to a model of non-linear elasticity
Misha Bialy and Andrey Mironov
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.