Open Access
Translator Disclaimer
September 2004 A Semi-Analytic Approach to Euler Singularities
Russel E. Caflisch, Michael Siegel
Methods Appl. Anal. 11(3): 423-430 (September 2004).

Abstract

This paper reviews the efforts to construct (or prove the impossibility of) singular solutions of the Euler equations for three dimensional incompressible flow. A semi-analytic approach to this problem is formulated based on numerical computation of complex traveling wave solutions, followed by perturbation construction of a real solution, for axisymmetric flow with swirl. The perturbation analysis depends on small amplitude of the singularity in the traveling wave solution, for small swirl in the underlying background flow.

Citation

Download Citation

Russel E. Caflisch. Michael Siegel. "A Semi-Analytic Approach to Euler Singularities." Methods Appl. Anal. 11 (3) 423 - 430, September 2004.

Information

Published: September 2004
First available in Project Euclid: 11 May 2006

zbMATH: 1100.76009
MathSciNet: MR2214685

Rights: Copyright © 2004 International Press of Boston

JOURNAL ARTICLE
8 PAGES


SHARE
Vol.11 • No. 3 • September 2004
Back to Top