Archive for Rational Mechanics and Analysis

, Volume 159, Issue 3, pp 229–252

An Eulerian Description of Fluids Containing Visco-Elastic Particles

  • Chun Liu
  • Noel J. Walkington

DOI: 10.1007/s002050100158

Cite this article as:
Liu, C. & Walkington, N. Arch. Rational Mech. Anal. (2001) 159: 229. doi:10.1007/s002050100158


Equations governing the flow of fluid containing visco-hyperelastic particles are developed in an Eulerian framework. The novel feature introduced here is to write an evolution equation for the strain. It is envisioned that this will simplify numerical codes which typically compute the strain on Lagrangian meshes moving through Eulerian meshes. Existence results for the flow of linear visco-hyperelastic particles in a Newtonian fluid are established using a Galerkin scheme.

Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Chun Liu
    • 1
  • Noel J. Walkington
    • 2
  1. 1.Department of Mathematics¶Pennsylvania State University¶State College, PA 16802, USA¶e-mail: liu@math.psu.eduUS
  2. 2.Department of Mathematics¶Carnegie Mellon University¶Pittsburgh, PA 15213, USA¶e-mail: noelw@cmu.eduUS