On the stability of quasi-two dimensional hydrodynamic flows.

Physics

Scientific paper

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Hydrodynamics: Turbulence, Hydrodynamics: Stability

Scientific paper

In two- and three-dimensional turbulent media, the cascading characteristics of its invariants are well known. A variational principle is set up for three-dimensional flows by invoking the differential decay rates of its invariants, the total energy and the mean square helicity density. An exact solution of the equation for the quasi-two dimensional case is presented. The stability of such a flow is also discussed.

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