On uniqueness and time regularity of flows of power-law like non-Newtonian fluids

Abstract

Large class of non-Newtonian fluids can be characterized by index p, which gives the growth of the constitutively determined part of the Cauchy stress tensor. In this paper, the uniqueness and the time regularity of flows of these fluids in an open bounded three-dimensional domain is established for subcritical ps, i.e. for p>11/5.

Keywords

• uniqueness
• time regularity
• flows
• non-Newtonian fluids