Highly Influenced
4 Excerpts
Enhanced Life Span of Smooth Solutions of a Burgers-Hilbert Equation
- Published 2012 in SIAM J. Math. Analysis
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)