Journal article
Sharp bounds on enstrophy growth in the viscous Burgers equation
Abstract
We use the Cole–Hopf transformation and the Laplace method for the heat equation to justify the numerical results on enstrophy growth in the viscous Burgers equation on the unit circle. We show that the maximum enstrophy achieved in the time evolution is scaled as
Authors
Pelinovsky D
Journal
Proceedings of the Royal Society A, Vol. 468, No. 2147, pp. 3636–3648
Publisher
The Royal Society
Publication Date
November 8, 2012
DOI
10.1098/rspa.2012.0200
ISSN
1364-5021