Journal
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
Volume 37, Issue 1, Pages 60-82Publisher
SIAM PUBLICATIONS
DOI: 10.1137/S0036141003430044
Keywords
nonlinear parabolic equation; degenerate parabolic equation; viscosity solutions; non-Newtonian flows; complex. uids; concentrated suspensions
Categories
Ask authors/readers for more resources
The mathematical properties of a nonlinear parabolic equation arising in the modelling of concentrated suspension flows are investigated. The peculiarity of this equation is that it may degenerate into a hyperbolic equation ( in fact, a linear advection equation). Depending on the initial data, at least two situations can be encountered: the equation may have a unique solution in a convenient class, or it may have infinitely many solutions. The present article is the theoretical side of a joint project with rheologists, aiming at better understanding the flows of complex fluids.
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