The paper is concerned with the Burgers-Hilbert equation ut + (u2/2)x = H[u], where the right-hand side is a Hilbert transform. Unique entropy admissible solutions are constructed locally in time, having a single shock. In a neighborhood of the shock curve, a detailed description of the solution is provided.
|Original language||English (US)|
|Number of pages||20|
|Journal||Communications in Mathematical Sciences|
|State||Published - 2017|
All Science Journal Classification (ASJC) codes
- Applied Mathematics