Existence and uniqueness of a density probability solution for the stationary Doi-Edwards equation

DOI10.1016/j.anihpc.2015.05.003zbMath1356.35254arXiv1502.00854OpenAlexW2962994986MaRDI QIDQ327762

Arnaud Heibig, Ionel Sorin Ciuperca

Publication date: 19 October 2016

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.00854

zbMATH Keywords

well-posednessDoi-Edwards equationpolymeric fluidsstationary equation

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Statistical mechanics of polymers (82D60) A priori estimates in context of PDEs (35B45) Suspensions (76T20) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Fokker-Planck equations (35Q84)

Related Items (2)

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 ⋮ New temperature dependent configurational probability diffusion equation for diluted FENE polymer fluids: existence of solution results

Cites Work

• Ordinary differential equations, transport theory and Sobolev spaces
• Global well-posedness for a Smoluchowski equation coupled with Navier-Stokes equations in 2D
• Fokker-Planck equation in bounded domain
• Continuity of velocity gradients in suspensions of rod-like molecules
• The FENE model for viscoelastic thin film flows
• Existence of solution for a micro-macro model of polymeric fluid: The FENE model.
• Variation and optimization of formes. A geometric analysis
• Long-time asymptotics of a multiscale model for polymeric fluid flows
• Existence and uniqueness results for the Doi–Edwards polymer melt model: the case of the (full) nonlinear configurational probability density equation
• THE STEADY STATE CONFIGURATIONAL DISTRIBUTION DIFFUSION EQUATION OF THE STANDARD FENE DUMBBELL POLYMER MODEL: EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR ARBITRARY VELOCITY GRADIENTS
• Well-posedness for the FENE dumbbell model of polymeric flows

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