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Proceedings Volume 2002

2002 Program in Geophysical Fluid Dynamics


Bounds on Turbulent Transport


John A. Whitehead, Director
Friedrich Busse, Louis Howard, Charles Doering, Peter Constantin, Colm-cille Caulfield, Richard Kerswell, Principal Lecturers
Woods Hole Oceanographic Institution
Woods Hole, MA 02543 USA

Lectures

Lecture 1 (pdf)

Hydrodynamic Stability

Lecture 2 (pdf)

Phase Turbulence in Convection

Lecture 3 (pdf)

The Sequence-of-Bifurcation Approach for the Transition to Turbulence

Lecture 4 (pdf)

Simple Approaches to Some Bounding

Lecture 5 (pdf)

Upper Bounds for Turbulent Transport

Lecture 6 (pdf)

Bounds on Turbulent Transport

Lecture 7 (pdf)

Multi-Alpha-Solutions

Lecture 8 (pdf)

Bounds for Rotating Fluids

Lecture 9 (pdf)

Bounds on Mixing in Stratified Shear Flows

Lecture 10 (pdf)

Unification of Variational Principles for Turbulent Shear Flows: the Mean-Fluctuation Formulation of Howard-Busse and the Background Method of Doering-Constantin