Fast growth of the vorticity gradient in symmetric smooth domains for 2D incompressible ideal flow
Publication
, Journal Article
Xu, X
Published in: Journal of Mathematical Analysis and Applications
July 15, 2016
We construct initial data for the two-dimensional Euler equation in a bounded smooth symmetric domain such that the gradient of vorticity in L∞ grows as a double exponential in time, for all time. Our construction is based on the recent result by Kiselev and Šverák [9].
Duke Scholars
Published In
Journal of Mathematical Analysis and Applications
DOI
EISSN
1096-0813
ISSN
0022-247X
Publication Date
July 15, 2016
Volume
439
Issue
2
Start / End Page
594 / 607
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4903 Numerical and computational mathematics
- 4901 Applied mathematics
- 0906 Electrical and Electronic Engineering
- 0102 Applied Mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Xu, X. (2016). Fast growth of the vorticity gradient in symmetric smooth domains for 2D incompressible ideal flow. Journal of Mathematical Analysis and Applications, 439(2), 594–607. https://doi.org/10.1016/j.jmaa.2016.02.066
Xu, X. “Fast growth of the vorticity gradient in symmetric smooth domains for 2D incompressible ideal flow.” Journal of Mathematical Analysis and Applications 439, no. 2 (July 15, 2016): 594–607. https://doi.org/10.1016/j.jmaa.2016.02.066.
Xu X. Fast growth of the vorticity gradient in symmetric smooth domains for 2D incompressible ideal flow. Journal of Mathematical Analysis and Applications. 2016 Jul 15;439(2):594–607.
Xu, X. “Fast growth of the vorticity gradient in symmetric smooth domains for 2D incompressible ideal flow.” Journal of Mathematical Analysis and Applications, vol. 439, no. 2, July 2016, pp. 594–607. Scopus, doi:10.1016/j.jmaa.2016.02.066.
Xu X. Fast growth of the vorticity gradient in symmetric smooth domains for 2D incompressible ideal flow. Journal of Mathematical Analysis and Applications. 2016 Jul 15;439(2):594–607.
Published In
Journal of Mathematical Analysis and Applications
DOI
EISSN
1096-0813
ISSN
0022-247X
Publication Date
July 15, 2016
Volume
439
Issue
2
Start / End Page
594 / 607
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4903 Numerical and computational mathematics
- 4901 Applied mathematics
- 0906 Electrical and Electronic Engineering
- 0102 Applied Mathematics
- 0101 Pure Mathematics