Macroscopic Models of Fluids with Microstructure

  • Noel J. Walkington
Conference paper
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 35)


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.


Liquid Crystal Deformation Gradient Nematic Liquid Crystal Fokker Planck Equation Discontinuous Galerkin Method 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Noel J. Walkington
    • 1
  1. 1.Department of MathematicsCarnegie Mellon UniversityPittsburghPA

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