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math.AP2000
On the stability of periodic 2D Euler-alpha flows
Sergey Pekarsky, Steve Shkoller
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 wav…
math.AP2000
Smooth global Lagrangian flow for the 2D Euler and second-grade fluid equations
Steve Shkoller
We present a very simple proof of the global existence of a Lagrangian flow map for the 2D Euler and second-grade fluid equations (on a compact Riemannian manifold with…