THE STEADY STATE CONFIGURATIONAL DISTRIBUTION DIFFUSION EQUATION OF THE STANDARD FENE DUMBBELL POLYMER MODEL: EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR ARBITRARY VELOCITY GRADIENTS

DOI10.1142/S0218202509004030zbMath1183.82099arXiv0902.4298MaRDI QIDQ3401041

Liviu Iulian Palade, Ionel Sorin Ciuperca

Publication date: 28 January 2010

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.4298

zbMATH Keywords

existence and uniqueness of solutionsKrein-Rutman theoremsFokker-Planck-Smoluchowski equationfinitely extensible nonlinear elastic (FENE) dumbbell chainsslow and fast viscoelastic flows

Mathematics Subject Classification ID

Statistical mechanics of polymers (82D60) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31)

Related Items (4)

Existence and uniqueness of a density probability solution for the stationary Doi-Edwards equation ⋮ On the IAA version of the Doi–Edwards model versus the K-BKZ rheological model for polymer fluids: A global existence result for shear flows with small initial data ⋮ Associations and dissociations with time-dependent reaction coefficients in finite polymer mixtures: the model and analytical-numerical method for solution by successive approximations ⋮ New temperature dependent configurational probability diffusion equation for diluted FENE polymer fluids: existence of solution results

Cites Work

• On the global existence of smooth solution to the 2-D FENE dumbbell model
• Creeping flow of dilute polymer solutions past cylinders and spheres
• Brownian dynamics simulation of reversible polymer networks under shear using a non-interacting dumbbell model.
• Existence of solution for a micro-macro model of polymeric fluid: The FENE model.
• Elliptic partial differential equations of second order
• On the hysteretic behaviour of dilute polymer solutions in relaxation following extensional flow
• Local existence for the FENE-dumbbell model of polymeric fluids
• An extended FENE dumbbell model theory for concentration dependent shear-induced anisotropy in dilute polymer solutions: addenda
• On the coarse-graining of polymers into bead-spring chains
• EXISTENCE OF GLOBAL WEAK SOLUTIONS FOR SOME POLYMERIC FLOW MODELS
• FENE Dumbbell Model and Its Several Linear and Nonlinear Closure Approximations
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