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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.
Abstract

© 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.

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