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Negative eddy viscosity of cat's-eye flows.Mathematical Physics & Probability
|Speaker: ||Dr. Alexei Novikov, Stanford Univeristy|
|Location: ||593 Kerr|
|Start time: ||Tue, May 11 1999, 3:10PM|
We study eddy-viscous hydrodynamic
instability of large-scale transport equations.
The transport equations are derived from the first principles, that is
Navier-Stokes equations by Multiscale techniques.
By means of variational principles we prove asymtotic behavior
of the coefficients of the transport equation for cellular flows,
at high Reynolds numbers. For intermediate Reynolds numbers coefficients
computed numerically. Results on linear and nonlinear stability analysis
of the transport equations are given analytically and numerically