@article{8caf529a4e3143aa8f18c13683aeeade,
title = "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 Non-linear 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 = "Blow-up, Genuine non-linearity, P-system, Polynomial integrals",
author = "Misha Bialy and Mironov, \{Andrey E.\}",
note = "Funding Information: M.B. was supported in part by ISF grant 128/10 and A.M. was supported by the Presidium of the Russian Academy of Sciences (under the program “Nonlinear Systems in Geometry”); grant MD-5134.2012.1 from the President of Russia ; and a grant from Dmitri Ziminʼs “Dynasty” foundation . It is our pleasure to thank these funds for the support. ",
year = "2013",
month = nov,
day = "15",
doi = "10.1016/j.jde.2013.07.040",
language = "אנגלית",
volume = "255",
pages = "3434--3446",
journal = "Journal of Differential Equations",
issn = "0022-0396",
publisher = "Academic Press Inc.",
number = "10",
}