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December 2005 A Level Set Formulation for the 3D Incompressible Euler Equations
Jian Deng, Thomas Y. Hou, Xinwei Yu
Methods Appl. Anal. 12(4): 427-440 (December 2005).

Abstract

We explore a level set representation of vorticity in the study of the singularity problems for incompressible fluid models. This representation exists for all initial vorticity fields. We further apply it to study the 3D Lagrangian averaged Euler equations and the 3D Euler equations, and obtain new global existence conditions.

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Jian Deng. Thomas Y. Hou. Xinwei Yu. "A Level Set Formulation for the 3D Incompressible Euler Equations." Methods Appl. Anal. 12 (4) 427 - 440, December 2005.

Information

Published: December 2005
First available in Project Euclid: 5 April 2007

zbMATH: 1107.76011
MathSciNet: MR2258317

Subjects:
Primary: 35Q35, 76B03

Rights: Copyright © 2005 International Press of Boston

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Vol.12 • No. 4 • December 2005
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