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Long time solutions for a Burgers-Hilbert equation via a modified energy method

Published Web Location

https://doi.org/10.1090/proc/12215
Abstract

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.

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