Proceedings Volume 2005


2005 Program in Geophysical Fluid Dynamics

Fast Times and Fine Scales

Oliver Buhler and Charles Doering, Directors
Joseph Keller, George Papanicolaou and Eric-Vanden Eijnden , Principal Lecturers
Woods Hole Oceanographic Institution
Wods Hole, MA 02543 USA


Principal Lectures

Preface (pdf)

Lecture 1 (pdf)

Fluid Equations

Lecture 2 (pdf)

Gravity waves and the method of stationary phase

Lecture 3 (pdf)

Asymptotic methods for the reduced wave equation

Lecture 4 (pdf)

Geometrial theory of diffraction (continued) and the shallow water theory

Lecture 5 (pdf)

Amplitude dynamics, boundary layers and harbor resonance

Lecture 6 (pdf)

Wiener process

Lecture 7 (pdf)

Stochastic integrals and stochastic differential equations

Lecture 8 (pdf)

Asymptotic techniques for SDEs

Lecture 9 (pdf)

The use of variational methods for high-contrast conductivity problems

Lecture 10 (pdf)

Convection diffusion problems

Lecture 11 (pdf)

Analysis of the Childress cell problem and stability of cellular flows


Fellows' Reports

Shallow water flow through a contraction (pdf)

Benjamin Akers, University of Wisconsin, Madison

A search for baroclinic structures (pdf)

Alexander Hasha, New York University

Vibrating pendulum and stratified fluids (pdf)

Inga Koszalka, Politecnico di Torino, Italy

Transport in cellular flows from the viewpoint of stochastic differential equations (pdf)

Walter Pauls, University of Nice, France

Internal wave breaking and mixing in the deep ocean (pdf)

Marcus Roper, DEAS, Harvard University

Scattering past a cylinder with weak circulation (pdf)

John Rudge, University of Cambridge, U.K.

Fluctuations in chemical reactions in a large volume (pdf)

Khachik Sargsyan, University of Michigan

Bounds on mulitscale mixing efficiencies (pdf)

Tiffany Shaw, University of Toronto, Canada

Simple models with cascade of energy and anomalous dissipation (pdf)

Ravi Srinivasan, Brown University

Laboratory experiments on mesoscale vortices colliding with multiple islands (pdf)

Aya Tanabe, Imperial College of London

Intermittency in some simple models for turbulent transport (pdf)

Arghir Dani Zarnescu, University of Chicago