A Maximum Entropy Principle Based Closure Method for Macro-micro Models of Polymeric Materials

@inproceedings{Hyon2008AME,
  title={A Maximum Entropy Principle Based Closure Method for Macro-micro Models of Polymeric Materials},
  author={YunKyong Hyon},
  year={2008}
}
We consider the finite extensible nonlinear elasticity (FENE) dumbbell model in viscoelastic polymeric fluids. We employ the maximum entropy principle for FENE model to obtain the solution which maximizes the entropy of FENE model in stationary situations. Then we approximate the maximum entropy solution using the second order terms in microscopic configuration field to get an probability density function (PDF). The approximated PDF gives a solution to avoid the difficulties caused by the… CONTINUE READING
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References

Publications referenced by this paper.
Showing 1-10 of 18 references

On the Peterlin approximation for finitely extensible dumbbells

  • R. Keunings
  • J. Non- Newtonian Fluid Mech., 68
  • 1997
Highly Influential
2 Excerpts

Moment closure hierachies for kinetic theories

  • C. D. Levermore
  • J. Stat. Phys., 83
  • 1996
Highly Influential
5 Excerpts

J

  • D. Jou
  • Casas-Vazquez and G. Lebon, “Extended…
  • 1993
Highly Influential
5 Excerpts

Maximization of the entropy in non-equilibrium

  • W. Dreyer
  • J. Phys. A. Math. Gen., 20
  • 1987
Highly Influential
5 Excerpts

New entropy esitmate for the Oldroyd-B model

  • D. Hu, T. Lelièvre
  • and related models, Commun. Math. Sci., 5
  • 2007
3 Excerpts

Long-time asympotics of a multiscale model for polymeric fluid flows

  • B. Jourdain, C. Le Bris, T. Lelièvre, F. Otto
  • Archive for Rational Mechanics and Analysis, 181
  • 2006
2 Excerpts

Convergence of a stochastic particle approximation of the stress tensor for the FENE-P model

  • B. Jourdain, T. Lelièvre
  • CERMICS 2004-263 Report,
  • 2004
2 Excerpts

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