Scholars@Duke
Journal cover image

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

Publication ,  Journal Article
Kiselev, A; Zlatoš, A
Published in: Journal of Differential Equations
October 5, 2015
Published version (DOI)

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.

Duke Scholars

Alexander A. Kiselev
Author Alexander A. Kiselev Mathematics
Altmetric Attention Stats
Dimensions Citation Stats

Published In

Journal of Differential Equations

DOI

10.1016/j.jde.2015.04.027

EISSN

1090-2732

ISSN

0022-0396

Publication Date

October 5, 2015

Volume

259

Issue

7

Start / End Page

3490 / 3494

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 4901 Applied mathematics
  • 0102 Applied Mathematics
  • 0101 Pure Mathematics
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Kiselev, A., & Zlatoš, A. (2015). Blow up for the 2D Euler equation on some bounded domains. Journal of Differential Equations, 259(7), 3490–3494. https://doi.org/10.1016/j.jde.2015.04.027
Kiselev, A., and A. Zlatoš. “Blow up for the 2D Euler equation on some bounded domains.” Journal of Differential Equations 259, no. 7 (October 5, 2015): 3490–94. https://doi.org/10.1016/j.jde.2015.04.027.
Kiselev A, Zlatoš A. Blow up for the 2D Euler equation on some bounded domains. Journal of Differential Equations. 2015 Oct 5;259(7):3490–4.
Kiselev, A., and A. Zlatoš. “Blow up for the 2D Euler equation on some bounded domains.” Journal of Differential Equations, vol. 259, no. 7, Oct. 2015, pp. 3490–94. Scopus, doi:10.1016/j.jde.2015.04.027.
Kiselev A, Zlatoš A. Blow up for the 2D Euler equation on some bounded domains. Journal of Differential Equations. 2015 Oct 5;259(7):3490–3494.
Journal cover image

Published In

Journal of Differential Equations

DOI

10.1016/j.jde.2015.04.027

EISSN

1090-2732

ISSN

0022-0396

Publication Date

October 5, 2015

Volume

259

Issue

7

Start / End Page

3490 / 3494

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 4901 Applied mathematics
  • 0102 Applied Mathematics
  • 0101 Pure Mathematics