Small scale creation for solutions of the incompressible two-dimensional Euler equation
Publication
, Journal Article
Kiselev, A; Šverák, V
Published in: Annals of Mathematics
January 1, 2014
We construct an initial data for the two-dimensional Euler equation in a disk for which the gradient of vorticity exhibits double exponential growth in time for all times. This estimate is known to be sharp - the double exponential growth is the fastest possible growth rate. © 2014 Department of Mathematics, Princeton University.
Duke Scholars
Published In
Annals of Mathematics
DOI
ISSN
0003-486X
Publication Date
January 1, 2014
Volume
180
Issue
3
Start / End Page
1205 / 1220
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Kiselev, A., & Šverák, V. (2014). Small scale creation for solutions of the incompressible two-dimensional Euler equation. Annals of Mathematics, 180(3), 1205–1220. https://doi.org/10.4007/annals.2014.180.3.9
Kiselev, A., and V. Šverák. “Small scale creation for solutions of the incompressible two-dimensional Euler equation.” Annals of Mathematics 180, no. 3 (January 1, 2014): 1205–20. https://doi.org/10.4007/annals.2014.180.3.9.
Kiselev A, Šverák V. Small scale creation for solutions of the incompressible two-dimensional Euler equation. Annals of Mathematics. 2014 Jan 1;180(3):1205–20.
Kiselev, A., and V. Šverák. “Small scale creation for solutions of the incompressible two-dimensional Euler equation.” Annals of Mathematics, vol. 180, no. 3, Jan. 2014, pp. 1205–20. Scopus, doi:10.4007/annals.2014.180.3.9.
Kiselev A, Šverák V. Small scale creation for solutions of the incompressible two-dimensional Euler equation. Annals of Mathematics. 2014 Jan 1;180(3):1205–1220.
Published In
Annals of Mathematics
DOI
ISSN
0003-486X
Publication Date
January 1, 2014
Volume
180
Issue
3
Start / End Page
1205 / 1220
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 0101 Pure Mathematics