The Cauchy--Dirichlet Problem for the Finitely Extensible Nonlinear Elastic Dumbbell Model of Polymeric Fluids

Hailiang Liu; Jaemin Shin

doi:10.1137/110840650

The Cauchy--Dirichlet Problem for the Finitely Extensible Nonlinear Elastic Dumbbell Model of Polymeric Fluids

SIAM Journal on Mathematical Analysis ◽

10.1137/110840650 ◽

2012 ◽

Vol 44 (5) ◽

pp. 3617-3648 ◽

Cited By ~ 3

Author(s):

Hailiang Liu ◽

Jaemin Shin

Keyword(s):

Dirichlet Problem ◽

Polymeric Fluids ◽

Dumbbell Model ◽

Nonlinear Elastic ◽

Elastic Dumbbell Model

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An Entropy Satisfying Conservative Method for the Fokker–Planck Equation of the Finitely Extensible Nonlinear Elastic Dumbbell Model

SIAM Journal on Numerical Analysis ◽

10.1137/110829611 ◽

2012 ◽

Vol 50 (3) ◽

pp. 1207-1239 ◽

Cited By ~ 10

Author(s):

Hailiang Liu ◽

Hui Yu

Keyword(s):

Planck Equation ◽

Conservative Method ◽

Dumbbell Model ◽

Fokker Planck Equation ◽

Nonlinear Elastic ◽

Entropy Satisfying ◽

Elastic Dumbbell Model ◽

Fokker Planck

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On the Approximation of the Fokker–Planck Equation of the Finitely Extensible Nonlinear Elastic Dumbbell Model I: A New Weighted Formulation and an Optimal Spectral-Galerkin Algorithm in Two Dimensions

SIAM Journal on Numerical Analysis ◽

10.1137/100795929 ◽

2012 ◽

Vol 50 (3) ◽

pp. 1136-1161 ◽

Cited By ~ 5

Author(s):

Jie Shen ◽

Haijun Yu

Keyword(s):

Planck Equation ◽

Two Dimensions ◽

Dumbbell Model ◽

Fokker Planck Equation ◽

Nonlinear Elastic ◽

Elastic Dumbbell Model ◽

Fokker Planck

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Existence of global weak solutions to the kinetic Hookean dumbbell model for incompressible dilute polymeric fluids

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2017.07.012 ◽

2018 ◽

Vol 39 ◽

pp. 362-395 ◽

Cited By ~ 7

Author(s):

John W. Barrett ◽

Endre Süli

Keyword(s):

Weak Solutions ◽

Global Weak Solutions ◽

Polymeric Fluids ◽

Dumbbell Model

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Prediction of Rheological Properties of Associative Polymeric Fluids Using a Reversible Network with Non-Interacting FENE Dumbbell Model

Nihon Reoroji Gakkaishi ◽

10.1678/rheology.35.129 ◽

2007 ◽

Vol 35 (3) ◽

pp. 129-136 ◽

Cited By ~ 4

Author(s):

Alfeus Sunarso ◽

Takehiro Yamamoto

Keyword(s):

Rheological Properties ◽

Polymeric Fluids ◽

Dumbbell Model

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Well-Posedness for the Dumbbell Model of Polymeric Fluids

Communications in Mathematical Physics ◽

10.1007/s00220-004-1102-y ◽

2004 ◽

Vol 248 (2) ◽

pp. 409-427 ◽

Cited By ~ 59

Author(s):

Weinan E ◽

Tiejun Li ◽

Pingwen Zhang

Keyword(s):

Well Posedness ◽

Polymeric Fluids ◽

Dumbbell Model

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The influence of hydrodynamic interaction on the constitutive equation of the elastic dumbbell model

Progress and Trends in Rheology II ◽

10.1007/978-3-642-49337-9_19 ◽

1988 ◽

pp. 86-88

Author(s):

B. Otten ◽

P. Schümmer

Keyword(s):

Constitutive Equation ◽

Hydrodynamic Interaction ◽

Dumbbell Model ◽

Elastic Dumbbell Model

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Molecular Theory of Polymer Viscoelasticity — Elastic Dumbbell Model

Polymer Viscoelasticity ◽

10.1142/9789812795144_0006 ◽

2003 ◽

pp. 91-111

Keyword(s):

Molecular Theory ◽

Dumbbell Model ◽

Polymer Viscoelasticity ◽

Elastic Dumbbell Model

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Work fluctuations in an elastic dumbbell model of polymers in planar elongational flow

Physical Review E ◽

10.1103/physreve.83.041805 ◽

2011 ◽

Vol 83 (4) ◽

Cited By ~ 6

Author(s):

Rati Sharma ◽

Binny J. Cherayil

Keyword(s):

Elongational Flow ◽

Dumbbell Model ◽

Planar Elongational Flow ◽

Elastic Dumbbell Model

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Local Existence for the Dumbbell Model of Polymeric Fluids

Communications in Partial Differential Equations ◽

10.1081/pde-120037336 ◽

2004 ◽

Vol 29 (5-6) ◽

pp. 903-923 ◽

Cited By ~ 21

Author(s):

Tiejun Li ◽

Hui Zhang ◽

Pingwen Zhang

Keyword(s):

Local Existence ◽

Polymeric Fluids ◽

Dumbbell Model

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Circular Couette flow of concentrated polymer solutions: Encapsulated finitely extendable nonlinear elastic (FENE) dumbbell model results

The Journal of Chemical Physics ◽

10.1063/1.450739 ◽

1986 ◽

Vol 84 (11) ◽

pp. 6437-6441 ◽

Cited By ~ 2

Author(s):

P. N. Kaloni ◽

P. O. Brunn

Keyword(s):

Couette Flow ◽

Polymer Solutions ◽

Circular Couette Flow ◽

Dumbbell Model ◽

Nonlinear Elastic

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