The 71st Midwest Partial Differential Equations Seminar May 11-12, 2013 Room TBA East Hall University of Michigan Ann Arbor, MI   Abstract Detail   Title: On the Benjamin-Feir instability I will speak on the Benjamin-Feir instability of Stokes waves at the surface of water. I will set forth a variational framework and determine instability to long wavelengths perturbations for a class of Hamiltonian systems. I will then develop an asymptotic approach for the Whitham model, deriving a dispersion relation governing modulational instability. I will discuss on the exact water wave problem, if time permits. This is joint work with Jared Bronski and Mathew Johnson. Vera Mikyoung Hur University of Illinois at Urbana-Champaign Email:  verahur@math.uiuc.edu Phone: 217 244 4012   BACK to Speaker Listing BACK to Conference Home   Sponsors National Science Foundation, Department of Mathematics at the University of Michigan