| 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 a general initial data $u\in\mathbb{R}$, the global existence of entropy weak solutions was proved by Bressan and Nguyen, together with a partial uniqueness result. Moreover, 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. |
|