Donatelli, Donatella; Thorsen, Tessa; Trivisa, Konstantina Weak dissipative solutions to a free-boundary problem for finitely extensible bead-spring chain molecules: variable viscosity coefficients. (English) Zbl 1448.35361 Kinet. Relat. Models 13, No. 5, 1047-1070 (2020). MSC: 35Q30 76N10 46E35 PDF BibTeX XML Cite \textit{D. Donatelli} et al., Kinet. Relat. Models 13, No. 5, 1047--1070 (2020; Zbl 1448.35361) Full Text: DOI
Donatelli, Donatella; Trivisa, Konstantina On a free boundary problem for finitely extensible bead-spring chain molecules in dilute polymers. (English) Zbl 1427.35372 J. Math. Anal. Appl. 482, No. 1, Article ID 123527, 24 p. (2020). MSC: 35R35 35Q30 35Q84 76N10 82C31 PDF BibTeX XML Cite \textit{D. Donatelli} and \textit{K. Trivisa}, J. Math. Anal. Appl. 482, No. 1, Article ID 123527, 24 p. (2020; Zbl 1427.35372) Full Text: DOI arXiv
Kim, J. M.; Stephanou, P. S.; Edwards, B. J.; Khomami, B. A mean-field anisotropic diffusion model for unentangled polymeric liquids and semi-dilute solutions: model development and comparison with experimental and simulation data. (English) Zbl 1359.76019 J. Non-Newton. Fluid Mech. 166, No. 11, 593-606 (2011). MSC: 76A05 PDF BibTeX XML Cite \textit{J. M. Kim} et al., J. Non-Newton. Fluid Mech. 166, No. 11, 593--606 (2011; Zbl 1359.76019) Full Text: DOI
Kivotides, D.; Mitkin, V. V.; Theofanous, T. G. Mesoscopic dynamics of polymer chains in high strain rate extensional flows. (English) Zbl 1178.76069 J. Non-Newton. Fluid Mech. 161, No. 1-3, 69-85 (2009). MSC: 76A10 82D60 PDF BibTeX XML Cite \textit{D. Kivotides} et al., J. Non-Newton. Fluid Mech. 161, No. 1--3, 69--85 (2009; Zbl 1178.76069) Full Text: DOI
Venkataramani, V.; Sureshkumar, R.; Khomami, B. A computationally efficient approach for Hi fidelity fine graining from bead-spring models to bead-rod models. (English) Zbl 1391.76802 J. Non-Newton. Fluid Mech. 149, No. 1-3, 20-27 (2008). MSC: 76T25 PDF BibTeX XML Cite \textit{V. Venkataramani} et al., J. Non-Newton. Fluid Mech. 149, No. 1--3, 20--27 (2008; Zbl 1391.76802) Full Text: DOI
Liu, Bin; Wang, Jizeng; Fan, Xiaojun; Kong, Yong; Gao, Huajian An effective bead-spring model for polymer simulation. (English) Zbl 1157.82421 J. Comput. Phys. 227, No. 5, 2794-2807 (2008). MSC: 82D60 PDF BibTeX XML Cite \textit{B. Liu} et al., J. Comput. Phys. 227, No. 5, 2794--2807 (2008; Zbl 1157.82421) Full Text: DOI
Lee, Yong Min; Joo, Yong Lak Brownian dynamics simulations of star-branched polymers in dilute solutions in extensional flow. (English) Zbl 1143.76336 J. Non-Newton. Fluid Mech. 140, No. 1-3, 71-86 (2006). MSC: 76-06 76Mxx 76Axx PDF BibTeX XML Cite \textit{Y. M. Lee} and \textit{Y. L. Joo}, J. Non-Newton. Fluid Mech. 140, No. 1--3, 71--86 (2006; Zbl 1143.76336) Full Text: DOI
Venkiteswaran, G.; Junk, M. A QMC approach for high dimensional Fokker-Planck equations modelling polymeric liquids. (English) Zbl 1059.82038 Math. Comput. Simul. 68, No. 1, 43-56 (2005). MSC: 82C80 82C31 65Z05 76M35 76A99 PDF BibTeX XML Cite \textit{G. Venkiteswaran} and \textit{M. Junk}, Math. Comput. Simul. 68, No. 1, 43--56 (2005; Zbl 1059.82038) Full Text: DOI
Hsieh, Chih-Chen; Li, Lei; Larson, Ronald G. Modeling hydrodynamic interaction in Brownian dynamics: simulations of extensional flows of dilute solutions of DNA and polystyrene. (English) Zbl 1065.76523 J. Non-Newton. Fluid Mech. 113, No. 2-3, 147-191 (2003). MSC: 76A10 82D60 PDF BibTeX XML Cite \textit{C.-C. Hsieh} et al., J. Non-Newton. Fluid Mech. 113, No. 2--3, 147--191 (2003; Zbl 1065.76523) Full Text: DOI
Somasi, Madan; Khomami, Bamin; Woo, Nathanael J.; Hur, Joe S.; Shaqfeh, Eric S. G. Brownian dynamics simulations of bead-rod and bead-spring chains: Numerical algorithms and coarse-graining issues. (English) Zbl 1143.76370 J. Non-Newton. Fluid Mech. 108, No. 1-3, 227-255 (2002). MSC: 76A10 76M25 82D60 PDF BibTeX XML Cite \textit{M. Somasi} et al., J. Non-Newton. Fluid Mech. 108, No. 1--3, 227--255 (2002; Zbl 1143.76370) Full Text: DOI
Denneman, A. I. M.; Jongschaap, R. J. J.; Mellema, J. Rheological behavior of a confined bead-spring cube consisting of equal Fraenkel springs. (English) Zbl 0968.76006 J. Eng. Math. 38, No. 2, 219-232 (2000). MSC: 76A10 82D60 PDF BibTeX XML Cite \textit{A. I. M. Denneman} et al., J. Eng. Math. 38, No. 2, 219--232 (2000; Zbl 0968.76006) Full Text: DOI
Koch, Martin; Sommer, Jens-Uwe; Blumen, Alexander Variational methods for constrained polymer dynamics. (English) Zbl 0934.82048 J. Phys. A, Math. Gen. 30, No. 14, 5007-5022 (1997). MSC: 82D60 82C31 PDF BibTeX XML Cite \textit{M. Koch} et al., J. Phys. A, Math. Gen. 30, No. 14, 5007--5022 (1997; Zbl 0934.82048) Full Text: DOI
Kishbaugh, A. J.; McHugh, A. J. A discussion of shear-thickening in bead-spring models. (English) Zbl 0695.76007 J. Non-Newtonian Fluid Mech. 34, No. 2, 181-206 (1990). MSC: 76A10 76M99 PDF BibTeX XML Cite \textit{A. J. Kishbaugh} and \textit{A. J. McHugh}, J. Non-Newton. Fluid Mech. 34, No. 2, 181--206 (1990; Zbl 0695.76007) Full Text: DOI
Chassapis, D.; Babos, G.; Takserman-Krozer, R.; Kröner, E. Statistical mechanics of temporary polymer networks. III: Dynamical effects. (English) Zbl 0697.76012 Rheol. Acta 28, No. 3, 193-201 (1989). MSC: 76A10 82B30 80A10 82D30 PDF BibTeX XML Cite \textit{D. Chassapis} et al., Rheol. Acta 28, No. 3, 193--201 (1989; Zbl 0697.76012) Full Text: DOI
Öttinger, Hans Christian A model of dilute polymer solutions with hydrodynamic interaction and finite extensibility. I: Basic equations and series expansions. (English) Zbl 0636.76005 J. Non-Newtonian Fluid Mech. 26, 207-246 (1987). MSC: 76A10 82D60 PDF BibTeX XML Cite \textit{H. C. Öttinger}, J. Non-Newton. Fluid Mech. 26, 207--246 (1987; Zbl 0636.76005) Full Text: DOI
de Kee, D.; Stastna, J. Primary normal stress coefficient predictions. (English) Zbl 0591.76007 J. Rheol. 30, 207-230 (1986). MSC: 76A05 PDF BibTeX XML Cite \textit{D. de Kee} and \textit{J. Stastna}, J. Rheol. 30, 207--230 (1986; Zbl 0591.76007) Full Text: DOI
Volkov, V. S.; Vinogradov, G. V. Relaxational interactions and viscoelasticity of polymer melts. I: Model development. (English) Zbl 0578.76010 J. Non-Newtonian Fluid Mech. 18, 163-172 (1985). Reviewer: P.K.Kythe MSC: 76A10 PDF BibTeX XML Cite \textit{V. S. Volkov} and \textit{G. V. Vinogradov}, J. Non-Newton. Fluid Mech. 18, 163--172 (1985; Zbl 0578.76010) Full Text: DOI
Bird, R. B.; Dotson, P. J.; Johnson, N. L. Polymer solution rheology based on a finitely extensible bead-spring chain model. (English) Zbl 0432.76012 J. Non-Newtonian Fluid Mech. 7, 213-235 (1980). MSC: 76A10 PDF BibTeX XML Cite \textit{R. B. Bird} et al., J. Non-Newton. Fluid Mech. 7, 213--235 (1980; Zbl 0432.76012) Full Text: DOI
Berman, Neil S. Drag reduction by polymers. (English) Zbl 0399.76058 Annu. Rev. Fluid Mech. 10, 47-64 (1978). MSC: 76F99 76A10 76-02 PDF BibTeX XML