Long time solutions for a burgers-hilbert equation via a modified energy method
- Author(s): Hunter, JK
- Ifrim, M
- Tataru, D
- Wong, TK
- et al.
Published Web Locationhttps://doi.org/10.1090/proc/12215
© 2015 American Mathematical Society. We consider an initial value problem for a quadratically nonlinear inviscid Burgers-Hilbert equation that models the motion of vorticity discontinuities. We use a modified energy method to prove the existence of small, smooth solutions over cubically nonlinear time-scales.