Mathematische Zeitschrift

, Volume 260, Issue 2, pp 355–375

Non-homogeneous generalized Newtonian fluids

Article

DOI: 10.1007/s00209-007-0278-1

Cite this article as:
Frehse, J. & Růžička, M. Math. Z. (2008) 260: 355. doi:10.1007/s00209-007-0278-1

Abstract

We show the existence of weak solutions to the system describing the motion of incompressible, non-homogeneous generalized Newtonian fluids if the extra stress tensor S(ρ, D) possesses p-structure with \({p \ge \frac {3d+2}{d+2}}\) and variable viscosity. The limiting process in the equation of motion is justified by a variational argument, which is new in this context.

Copyright information

© Springer-Verlag 2007

Authors and Affiliations

  1. 1.Institute of Applied MathematicsUniversity BonnBonnGermany
  2. 2.Institute of Applied MathematicsAlbert-Ludwigs-University FreiburgFreiburgGermany