Existence of weak solutions for non-stationary flows of fluids with shear thinning dependent viscosities under slip boundary conditions in half space

• Published in: Science China. Mathematics Vol. 61; no. 4; pp. 727 - 744
• Main Author: Zang, Aibin
• Format: Journal Article
• Language: English
• Published: Beijing Science China Press 01.04.2018; Springer Nature B.V
• Subjects: Applications of Mathematics; Boundary conditions; Computational fluid dynamics; Existence theorems; Fluid flow; Incompressible flow; Mathematics; Mathematics and Statistics; Newtonian fluids; Non Newtonian fluids; Potential flow; Shear thinning (liquids); Slip; Viscosity; 35D05; weak solution; non-Newtonian fluid; Oseen-type approximation; 54B15; 34A34; 76D05; slip boundary conditions

This paper treats the system of motion for an incompressible non-Newtonian fluids of the stress tensor described by p-potential function subject to slip boundary conditions in ℝ + 3 . Making use of the Oseentype approximation to this model and the L ∞ -truncation method, one can establish the existe...