Journal article
On maximum enstrophy growth in a hydrodynamic system
Abstract
Enstrophy E plays an important role in the study of regularity of solutions to the three-dimensional Navier–Stokes equation. The best estimates for its growth available to-date do not rule out the possibility of enstrophy becoming unbounded in finite time which would indicate loss of regularity of solutions. It is therefore interesting to investigate sharpness of such finite-time bounds for enstrophy growth. We consider this question in the …
Authors
Ayala D; Protas B
Journal
Physica D Nonlinear Phenomena, Vol. 240, No. 19, pp. 1553–1563
Publisher
Elsevier
Publication Date
September 2011
DOI
10.1016/j.physd.2011.07.003
ISSN
0167-2789