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Challenges in Scientific Computing - CISC 2002 pp 23–36Cite as

Macroscopic Models of Fluids with Microstructure

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Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 35))

Abstract

Liquid crystals, fluids containing elastic particles, and polymer fluids, all exhibit non-trivial macroscopic behavior due to interactions occurring at micro/mesoscopic scales. Frequently the particles are small enough to be influenced by Brownian motion so the classical equations of mechanics must be coupled to appropriate Fokker Planck equation(s). Currently the coupling between the Fokker Planck equations modeling the microstructure and the macroscopic equations of mechanics is poorly understood. In this talk I’ll present some of the microscopic models appearing in the physics literature and the systems of pde’s that arise when they are coupled to the equations of mechanics.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Carnegie Mellon University, Pittsburgh, 15213, PA

    Noel J. Walkington

Authors
  1. Noel J. Walkington
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Editor information

Editors and Affiliations

  1. Weierstrass-Institut für AngewandteAnalysis und Stochastik, Mohrenstr. 39, Berlin, 10117, Germany

    Eberhard Bänsch

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Walkington, N.J. (2003). Macroscopic Models of Fluids with Microstructure. In: Bänsch, E. (eds) Challenges in Scientific Computing - CISC 2002. Lecture Notes in Computational Science and Engineering, vol 35. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19014-8_2

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  • DOI: https://doi.org/10.1007/978-3-642-19014-8_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-62406-3

  • Online ISBN: 978-3-642-19014-8

  • eBook Packages: Springer Book Archive

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