Global Strong Solutions for Some Differential Viscoelastic Models
暂无分享,去创建一个
[1] P. Lions,et al. GLOBAL SOLUTIONS FOR SOME OLDROYD MODELS OF NON-NEWTONIAN FLOWS , 2000 .
[2] Yoshikazu Giga,et al. Abstract LP estimates for the Cauchy problem with applications to the Navier‐Stokes equations in exterior domains , 1991 .
[3] Nader Masmoudi,et al. Well‐posedness for the FENE dumbbell model of polymeric flows , 2008 .
[4] R. Keunings,et al. Numerical simulation of branched polymer melts in transient complex flow using pom-pom models , 2001 .
[5] E. Fernández-Cara,et al. Some theoretical results concerning non newtonian fluids of the Oldroyd kind , 1998 .
[6] E. Mitsoulis. 50 Years of the K-BKZ Constitutive Relation for Polymers , 2013 .
[7] Benjamin Jourdain,et al. Existence of solution for a micro–macro model of polymeric fluid: the FENE model , 2004 .
[8] M. F. Webster,et al. Simulation of pressure‐tooling wire‐coating flow with Phan‐Thien/Tanner models , 2002 .
[9] G. Fredrickson. The theory of polymer dynamics , 1996 .
[10] M.A. Hulsen. A sufficient condition for a positive definite configuration tensor in differential models , 1990 .
[11] Laurent Chupin,et al. Global Existence Results for Some Viscoelastic Models with an Integral Constitutive Law , 2013, SIAM J. Math. Anal..
[12] J. M. Rallison,et al. Creeping flow of dilute polymer solutions past cylinders and spheres , 1988 .
[13] J. Saut,et al. Global existence and one-dimensional nonlinear stability of shearing motions of viscoelastic fluids of Oldroyd type , 1990 .
[14] E. Süli,et al. Existence of global weak solutions for some polymeric flow models , 2005 .
[15] E. Süli,et al. EXISTENCE OF GLOBAL WEAK SOLUTIONS TO DUMBBELL MODELS FOR DILUTE POLYMERS WITH MICROSCOPIC CUT-OFF , 2008 .
[16] A. Leonov. Nonlinear Phenomena in Flows of Viscoelastic Polymer Fluids , 1994 .
[17] M. Renardy,et al. A singular perturbation study of the Rolie-Poly model , 2017, Journal of Non-Newtonian Fluid Mechanics.
[18] Michael Renardy. Existence of slow steady flows of viscoelastic fluids of integral type , 1988 .
[19] L. Chupin. Existence Results for the Flow of Viscoelastic Fluids with an Integral Constitutive Law , 2013 .
[20] F. Baaijens,et al. Viscoelastic analysis of complex polymer melt flows using the extended Pom-Pom model , 2002 .
[21] F. Baaijens,et al. Differential constitutive equations for polymer melts: The extended Pom–Pom model , 2001 .
[22] Curtiss,et al. Dynamics of Polymeric Liquids , .
[23] H. Ch. Öttinger,et al. Stochastic Processes in Polymeric Fluids: Tools and Examples for Developing Simulation Algorithms , 1995 .
[24] B. Bernstein,et al. A Study of Stress Relaxation with Finite Strain , 1963 .
[25] R. Larson,et al. Molecular constitutive equations for a class of branched polymers: The pom-pom polymer , 1998 .
[26] J. Hadamard. Sur les problemes aux derive espartielles et leur signification physique , 1902 .
[27] R. Tanner,et al. A new constitutive equation derived from network theory , 1977 .
[28] Peter Constantin. Smoluchowski Navier-Stokes Systems , 2007 .
[29] Nader Masmoudi,et al. Remarks on the blowup criteria for Oldroyd models , 2009, 0907.2745.
[30] M. Renardy,et al. A model equation for viscoelasticity with a strongly singular kernel , 1988 .
[31] A Blowup Criterion for Ideal Viscoelastic Flow , 2011, 1102.1113.
[32] C. L. Tucker,et al. Fundamentals of Computer Modeling for Polymer Processing , 1989 .
[33] R. Larson. Constitutive equations for polymer melts and solutions , 1988 .
[34] R. Larson. A Constitutive Equation for Polymer Melts Based on Partially Extending Strand Convection , 1984 .
[35] M. Crochet,et al. Further Results On the Flow of a Viscoelastic Fluid Through An Abrupt Contraction , 1986 .
[36] Raanan Fattal,et al. Constitutive laws for the matrix-logarithm of the conformation tensor , 2004 .
[37] A. R. Davies. Reentrant corner singularities in non-newtonian flow. Part I: theory , 1988 .
[38] R. Larson. The elastic stress in “film fluids” , 1997 .
[39] Pingwen Zhang,et al. Local Existence for the FENE-Dumbbell Model of Polymeric Fluids , 2004 .
[40] Raphaël Danchin,et al. Density-Dependent Incompressible Fluids in Bounded Domains , 2006 .
[41] Global Existence of Solutions for Shear Flow of Certain Viscoelastic Fluids , 2009 .
[42] Michael Renardy,et al. An existence theorem for model equations resulting from kinetic theories of polymer solutions , 1991 .
[43] J. Saut,et al. Existence results for the flow of viscoelastic fluids with a differential constitutive law , 1990 .
[44] Guillén Fernández-Cara,et al. GLOBAL EXISTENCE OF WEAK SOLUTIONS TO THE FENE DUMBBELL MODEL OF POLYMERIC FLOWS , 2012 .
[45] Tony Lelièvre,et al. Micro-macro models for viscoelastic fluids: modelling, mathematics and numerics , 2011, 1102.0325.
[46] Mária Lukácová-Medvid'ová,et al. Global Existence Result for the Generalized Peterlin Viscoelastic Model , 2017, SIAM J. Math. Anal..
[47] R. Keunings. On the high weissenberg number problem , 1986 .
[48] Enrique Fernández-Cara,et al. EXISTENCE ET UNICITE DE SOLUTION FORTE LOCALE EN TEMPS POUR DES FLUIDES NON NEWTONIENS DE TYPE OLDROYD (VERSION LS-LT) , 1994 .
[49] Jean-Yves Chemin,et al. About Lifespan of Regular Solutions of Equations Related to Viscoelastic Fluids , 2001, SIAM J. Math. Anal..
[50] N. Phan-Thien. A Nonlinear Network Viscoelastic Model , 1978 .
[51] T. Lelièvre,et al. FREE-ENERGY-DISSIPATIVE SCHEMES FOR THE OLDROYD-B MODEL , 2008, 0801.2248.
[52] J. Barrett,et al. Existence of global weak solutions to the kinetic Hookean dumbbell model for incompressible dilute polymeric fluids , 2017, 1702.06502.
[53] John W. Barrett,et al. EXISTENCE AND EQUILIBRATION OF GLOBAL WEAK SOLUTIONS TO KINETIC MODELS FOR DILUTE POLYMERS II: HOOKEAN-TYPE MODELS , 2012 .
[54] F. Greco,et al. Integral and differential constitutive equations for entangled polymers with simple versions of CCR and force balance on entanglements , 2001 .
[55] J. Oldroyd. On the formulation of rheological equations of state , 1950, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.