@article{38361,
  keywords = {dynamics, model, equation, simulation, bifurcation, Model reduction, polymers, dynamic pinning, equation-free computations, nematic-liquid crystals, o(3) symmetry, shearing flows},
  author = {Lucia Russo and Constantinos Siettos and Ioannis Kevrekidis},
  title = {Reduced computations for nematic-liquid crystals: A timestepper approach for systems with continuous symmetries},
  abstract = { <p>In this work we address the development of a timestepper based computational approach to analyse the dynamics of the Smoluchowski equation directly, bypassing the necessity of finding closures to construct low-order macroscopic models, while at the same time factoring out in a dynamic way the underlying continuous symmetry. This can be thought as a two-tier model reduction methodology for systems with continuous symmetries: going from models with a large numbers of degrees of freedom to more compact models, in terms of a smaller number of dependent variables, while also taking care of the underlying invariance. (C) 2006 Elsevier B.V. All rights reserved.</p> },
  year = {2007},
  journal = {Journal of Non-Newtonian Fluid Mechanics},
  volume = {146},
  pages = {51-58},
  month = {10/2007},
  isbn = {0377-0257},
  language = {English},
}