Enhanced Life Span of Smooth Solutions of a Burgers-Hilbert Equation

Abstract

We consider an initial value problem for a quadratically nonlinear inviscid BurgersHilbert equation that models the motion of vorticity discontinuities. We use a normal form transformation, which is implemented by means of a near-identity coordinate change of the independent spatial variable, to prove the existence of small, smooth solutions over cubically… (More)
DOI: 10.1137/110849791

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