From polynomial integrals of Hamiltonian flows to a model of non-linear elasticity
Analysis of PDEs
2012-12-06 v1 Exactly Solvable and Integrable Systems
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.
Keywords
Cite
@article{arxiv.1212.0934,
title = {From polynomial integrals of Hamiltonian flows to a model of non-linear elasticity},
author = {Michael Bialy and Andrey E. Mironov},
journal= {arXiv preprint arXiv:1212.0934},
year = {2012}
}
Comments
14p, comments are welcome. arXiv admin note: text overlap with arXiv:1204.4397