×

A level set formulation for the 3D incompressible Euler equations. (English) Zbl 1107.76011

Summary: We explore a level set representation of vorticity in the study of singularity 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.

MSC:

76B03 Existence, uniqueness, and regularity theory for incompressible inviscid fluids
35Q35 PDEs in connection with fluid mechanics
PDF BibTeX XML Cite
Full Text: DOI