Lower Bounds on the Blow-Up Rate of the Axisymmetric Navier–Stokes Equations II

DSpace/Manakin Repository

Lower Bounds on the Blow-Up Rate of the Axisymmetric Navier–Stokes Equations II

Citable link to this page

 

 
Title: Lower Bounds on the Blow-Up Rate of the Axisymmetric Navier–Stokes Equations II
Author: Chen, Chiun-Chuan; Strain, Robert M.; Tsai, Tai-Peng; Yau, Horng-Tzer

Note: Order does not necessarily reflect citation order of authors.

Citation: Chen, Chiun-Chuan, Robert M. Strain, Tai-Peng Tsai, and Horng-Tzer Yau. 2009. “Lower Bounds on the Blow-Up Rate of the Axisymmetric Navier–Stokes Equations II.” Communications in Partial Differential Equations 34 (3) (March 25): 203–232. doi:10.1080/03605300902793956.
Full Text & Related Files:
Abstract: Consider axisymmetric strong solutions of the incompressible Navier–Stokes equations in ℝ3 with non-trivial swirl. Let z denote the axis of symmetry and r measure the distance to the z-axis. Suppose the solution satisfies, for some 0 ≤ ε ≤ 1, |v (x, t)| ≤ C ∗ r −1+ε |t|−ε/2 for − T 0 ≤ t < 0 and 0 < C ∗ < ∞ allowed to be large. We prove that v is regular at time zero.
Published Version: doi:10.1080/03605300902793956
Other Sources: https://arxiv.org/abs/math/0701796
Terms of Use: This article is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP
Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:32706737
Downloads of this work:

Show full Dublin Core record

This item appears in the following Collection(s)

 
 

Search DASH


Advanced Search
 
 

Submitters