[Amath-seminars] Boeing Lecture today at 3:30 in Gug 218

Nathan Kutz kutz at uw.edu
Fri Jan 20 12:03:25 PST 2012

Hi All

Yesterday's Boeing seminar will be held today at 3:30 in GUG 218 (NOT

STUDENTS: For those around, there is a SIAM meeting with Walter at
2:30-3:15 in GUG 415L



Dear all,

This Thursday January 19th, Walter Strauss from Brown will be the
guest of the AMATH dept. and will deliver the Boeing Distinguished

Hope to see you all there!

Boeing Distinguished Lecture Series

Walter Strauss
Brown University

Steady Rotational Water Waves

Thursday, January 19, 2012
220 Guggenheim, 4:00 pm
(Reception to follow on 4th floor of Guggenheim)

Precise study of water waves began with the derivation of the basic
mathematical equations of fluids by the great Euler in 1752. In the two
and a half centuries since then, the theory of fluids has played a
role in the development of mathematics. Water waves are fluids with a
surface. I will discuss periodic waves that travel at a constant speed.
Using local and global bifurcation theory, we now know how to prove that
there exist very many such waves. They may have either small or large
amplitudes. I will outline the existence proof, joint with Adrian
Constantin, and then exhibit some computations, joint with Joy Ko,
of the waves using numerical continuation. The computations
illustrate certain relationships between the amplitude, energy and mass
flux of the waves. If the vorticity is sufficiently large, the first
stagnation point of the wave occurs either at the crest, on the bed
directly below the crest, or in the interior of the fluid. The
vorticity also affects the pressure beneath the fluid and the behavior
the fluid particles. This work is a perfect example of the synergy
theory and computation.
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