On non-Newtonian fluids with convective effects

Date

2017-06-28

Authors

Herron, Sigifredo
Villamizar-Roa, Elder J.

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

We study a system of partial differential equations describing a steady thermoconvective flow of a non-Newtonian fluid. We assume that the stress tensor and the heat flux depend on temperature and satisfy the conditions of p, q-coercivity with p > 2n/n+2, q > np/p(n+1)-n, respectively. Considering Dirichlet boundary conditions for the velocity and a mixed and nonlinear boundary condition for the temperature, we prove the existence of weak solutions. We also analyze the existence and uniqueness of strong solutions for small and suitably regular data.

Description

Keywords

Non-Newtonian fluids, Shear-dependent viscosity, Weak solutions, Strong solutions, Uniqueness

Citation

Herrón, S., & Villamizar-Roa, E. J. (2017). On non-Newtonian fluids with convective effects. <i>Electronic Journal of Differential Equations, 2017</i>(155), pp. 1-28.

Rights

Attribution 4.0 International

Rights Holder

This work is licensed under a Creative Commons Attribution 4.0 International License.

Rights License