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math.AP2012
From polynomial integrals of Hamiltonian flows to a model of non-linear elasticity
Michael Bialy, Andrey E. Mironov
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 d…
math.AP2012
Smooth solutions for a -system of mixed type
Michael, Bialy
In this note we analyze smooth solutions of a -system of the \textit{mixed} type. Motivating example for this is a 2-components reduction of the Benney moments chain which appea…
math.AP2011★ 3 cited
Richness or Semi-Hamiltonicity of quasi-linear systems which are not in evolution form
Michael, Bialy
The aim of this paper is to consider quasi-linear systems which are not in the form of evolution equations. We propose new condition of Richness or Semi-Hamiltonicity for such a sy…