Turbulence/Martingale Theory Confusion

Despite what I may think every Tuesday and Thursday when I walk from my probability theory class into my turbulence course, ν_T is an eddy viscosity and not the stopped viscosity process.

Nearly sufficently advanced technology

Stephen Pope's Turbulent Flows is one of the go-to books for graduate courses in turbulence. It flows well, re-reading sections rewards the reader with new material, and the book attempts to develop results instead of just arriving with them from on high. All goodness. Still, every so often, Pope casually drops a bomb to check if you're paying attention. Most of the time I'm not, but tonight I saw one:

Oh, I thought, he's just using a Taylor expansion. No big deal. I kept on reading.

Pope then quietly announces that it was a stochastic Taylor expansion. At least that's my guess at what that object would be called.

I've never seen a “stochastic Taylor expansion” developed, nor do I know the technical constraints that say whether an expansion does or does not exist for random fields like u, v, and w. Any mathematical concept lacking a Wikipedia entry (as of today, anyhow) probably requires a bit more fanfare. A footnote? A reference? A statement declaring überformality? Not Pope's style it seems...

TAMMS 2009 Speakers

I just accepted the final student speaker for the 2009 Texas Applied Mathematics Meeting for Students. I'm very happy with the breadth of schools and topics we'll have at the conference. Here are the talk titles firmly on the schedule:

Name University Talk Title Yulia Hristova Texas A&M University Time reversal in thermoacoustic tomography - an error estimate Anthony R. Kellems Rice University Dimension Reduction Techniques that Capture Nonlinear Behavior of Morphologically Accurate Neuronal Models Linh Nguyen Texas A&M University On singularities and instability of reconstruction in thermoacoustic tomography Yan LI Texas A&M University Local-Global Upscaling of Flow and Transport in heterogeneous porous media Ryan Nong Rice University Numerical Solutions of Matrix Equations Arising in Dimension Reduction for Linear-Time-Invariant Systems in the Large-Scale Setting Jay Raol Rice University Using Fast Activating Voltage Sensitive Calcium Channels as Voltage Sensors Moritz Allmaras Texas A&M University Ultrasound Modulated Optical Tomography: Reconstructions for a Differential Model Sean Hardesty Rice University Optimization of Shell Structure Acoustics Dimitar Trenev Texas A&M University Approximating solutions of infinite domain Laplace and Helmholtz problems Robert Rosenbaum University of Houston Correlation Propagation in Networks of Integrate-and-Fire Neurons