Join Zoom Meeting https://pitt.zoom.us/j/96049270479
Meeting ID: 960 4927 0479
Abstract or Additional Information
Abstract: In this talk, we will present some new abstract results on global bifurcation theory for front-type solutions to (fully nonlinear) elliptic PDE posed on infinite cylinders. These problems arise in a variety of physical and mathematical settings. Specifically, we will discuss the existence of large-amplitude hydrodynamics bores, which are traveling front solutions to the two-phase free boundary Euler equations. A second application will be to nonlinear elasticity, where we study non-perturbative anti-plane shear equilibria.
This is joint work with Robin Ming Chen and Miles H. Wheeler.