AbstractWith collaborators Jesse Gell-Redman and Sean Gomes, we have begun to set up an entirely new framework for tackling the linear and nonlinear Schrödinger equation. I will describe this setup and explain why I believe it is a more powerful framework than existing approaches for studying nonlinear scattering and soliton dynamics.SpeakerI am currently a Professor and Associate Director of R...
AbstractThe Prandtl equation introduced by Prandtl in 1904 is a basic equationdescribling the behavior of the fluid near the boundary. In this talk, I willfirst introduce some recent results on the regularity, long-time behavioland boundary layer separation of the steady Prandtl equation. Then I willintroduce the construction of the Tollmien-Schlichting waves in the subsonicregime, which play a...
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