On the stability of periodic 2D Euler-alpha flows

An explicit expression is obtained for the sectional curvature in the plane spanned by two stationary flows, cos(k, x) and cos(l, x). It is shown that for certain values of the wave vectors k and l the curvature becomes positive for alpha > alpha_0, where 0 < alpha_0 < 1 is of t...

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Bibliographic Details
Main Authors: Pekarsky, S, Shkoller, S
Format: Journal article
Published: 2000