Next Talk

Speaker: Miles Wheeler
Title: Steady water waves
Date and time: February 27, 1:00 p.m. (light refreshments at 12:45 p.m.)
Venue: WWH 1302

Abstract

Having calculated the first five terms in a small-amplitude expansion of periodic traveling water waves, Stokes conjectured in 1880 that such waves could be 'pushed to the extent of yielding crests with sharp edges'. In this mostly expository talk, I will introduce the mathematical theory of steady traveling water waves, in particular the proof of Stokes' conjecture in the eighties using bifurcation theory techniques. Local bifurcation theory allows us to solve equations near points where the implicit function theorem fails, while global bifurcation theory tells us about the possible limiting behavior along branches of solutions; both will be illustrated with simple finite-dimensional examples. I will also review classical results on the symmetry, elevation, and speed of solitary waves, as well as the surprisingly useful reformulation of the steady water wave problem as an ill-posed dynamical system (with the horizontal variable playing the role of time).

About this seminar

This seminar is meant to benefit young mathematicians, particularly graduate students and postdocs.
It aims to accomplish the following: The research talks should be fairly introductory and accessible to students and non-specialists in the audience.

Schedule Spring 2015

February 20

Speaker: Lise-Marie Imbert-Gérard
Title:The hydrid resonance of Maxwell's equations in slab geometry: bessel functions and general dissipation tensor
Abstract

February 27

Speaker: Miles Wheeler
Title:Steady water waves
Abstract

March 6

Speaker: Peter Nandori
Title:TBA
Abstract

March 27

Speaker: Aleksandar Donev
Title:TBA
Abstract

April 3

Speaker: Sophie Marques
Title:TBA
Abstract

April 17

Speaker: Abtin Rahimian
Title:TBA
Abstract

April 24

Speaker: Eyal Lubetzky
Title:TBA
Abstract

May 1

Speaker: David Belius
Title:TBA
Abstract

Contact Info

If you would like to give a talk or ask a question about the seminar, please contact one of the seminar organizers:

Aukosh Jagannathaukosh [at] cims [dot] nyu [dot] edu
Manas Rachhrachh [at] cims [dot] nyu [dot] edu
Klaus Widmayerklaus [at] cims [dot] nyu [dot] edu

Previous semesters

Fall 2014 schedule

Spring 2014 schedule

Fall 2013 schedule

Spring 2013 schedule

Fall 2012 schedule

Spring 2013 schedule

Fall 2011 schedule

Spring 2011 schedule

Descriptions of earlier talks are here.

Department of Mathematics
Courant Institute of Mathematical Sciences
New York University
251 Mercer St.
New York, NY 10012