Title: Shocks interaction for the Burgers-Hilbert Equation
Speaker: Tien Khai Nguyen (North Carolina State University)
Abstract: In 2009 J. Biello and J. Hunter derived a balance law modeling nonlinear waves with constant frequency, obtained from Burgers' equation by adding the Hilbert transform as a source term. For general L^2(R) initial data, the global existence of entropy weak solutions was proved by Bressan and Nguyen in 2014, together with a partial uniqueness result. Recently, unique piecewise continuous solutions with a single shock and the shock formation have been recently studied. This talk will describe a further type of local generic singularities for solutions, namely, points where two shocks interact.
Zoom: https://osu.zoom.us/j/93517408580?pwd=M1dlWXo1L3oyYXZhY2JFdHRiV0JGQT09
Meeting ID: 935 1740 8580 Password: 314159