Blow up for the 2D Euler equation on some bounded domains

Journal Article (Journal Article)

We find a smooth solution of the 2D Euler equation on a bounded domain which exists and is unique in a natural class locally in time, but blows up in finite time in the sense of its vorticity losing continuity. The domain's boundary is smooth except at two points, which are interior cusps.

Full Text

Duke Authors

Cited Authors

  • Kiselev, A; ZlatoŇ°, A

Published Date

  • January 1, 2015

Published In

Volume / Issue

  • 259 / 7

Start / End Page

  • 3490 - 3494

Electronic International Standard Serial Number (EISSN)

  • 1090-2732

International Standard Serial Number (ISSN)

  • 0022-0396

Digital Object Identifier (DOI)

  • 10.1016/j.jde.2015.04.027

Citation Source

  • Scopus