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arXiv · 1301.1947

Long time Solutions for a Burgers-Hilbert Equation via a Modified Energy Method

John K. Hunter·Mihaela Ifrim·Daniel Tataru·Tak Kwong Wong
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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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John K. Hunter, Mihaela Ifrim, Daniel Tataru, Tak Kwong Wong. 2013-01-09. Long time Solutions for a Burgers-Hilbert Equation via a Modified Energy Method. https://arxiv.org/abs/1301.1947

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