Journal
COMMUNICATIONS IN MATHEMATICAL PHYSICS
Volume 277, Issue 3, Pages 729-758Publisher
SPRINGER
DOI: 10.1007/s00220-007-0373-5
Keywords
-
Categories
Ask authors/readers for more resources
We investigate the Doi model for suspensions of rod-like molecules in the dilute regime. For certain parameter values, the velocity gradient vs. stress relation defined by the stationary and homogeneous flow is not rank-one monotone. We then consider the evolution of possibly large perturbations of stationary flows. We prove that, even in the absence of a microscopic cut-off, discontinuities in the velocity gradient cannot occur in finite time. The proof relies on a novel type of estimate for the Smoluchowski equation.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available