Euler-Poincare formulation and elliptic instability for nth-gradient fluids

Details Euler-Poincare formulation and elliptic instability for nth-gradient fluids Euler-Poincare formulation and elliptic instability for nth-gradient fluids

2004-05-21

arxiv.org/abs/nlin/0405051v1

J. Phys. A 37 (2004) 7609-7623

Nonlinear Sciences

Chaotic Dynamics

17 pages, 5 figures (low quality), each in several parts

Scientific paper

10.1088/0305-4470/37/30/015

The energy of an $n^{th}-$gradient fluid depends on its Eulerian velocity
gradients of order $n$. A variational principle is introduced for the dynamics
of $n^{th}-$gradient fluids and their properties are reviewed in the context of
Noether's theorem. The stability properties of Craik-Criminale solutions for
first and second gradient fluids are examined.

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