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Preprint 2012-024

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.

Paper:
Available as PDF (371 Kbytes).
Author(s):
Misha Bialy
Andrey Mironov
Submitted by:
; 2012-12-06.