Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published 2005 | public
Journal Article Open

Geometric Properties and Nonblowup of 3D Incompressible Euler Flow


By exploring a local geometric property of the vorticity field along a vortex filament, we establish a sharp relationship between the geometric properties of the vorticity field and the maximum vortex stretching. This new understanding leads to an improved result of the global existence of the 3D Euler equation under mild assumptions.

Additional Information

© 2005 Taylor & Francis, Inc. Received January 2004; Accepted August 2004. This work was supported in part by the NSF under the NSF FRG grant DMS-0353838 and ITR Grant ACI-0204932. The authors would like to thank the referee and Prof. R. M. Kerr for their helpful comments on the original version of the manuscript.

Attached Files

Submitted - 0402032.pdf


Files (268.4 kB)
Name Size Download all
268.4 kB Preview Download

Additional details

August 22, 2023
August 22, 2023