**Speaker:** Khai Nguyen, Professor of Mathematics, NC State University

**Title**: Shocks interaction for the Burgers-Hilbert Equation

**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.