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

DOI10.1016/j.nonrwa.2017.07.012zbMath1379.35232arXiv1702.06502OpenAlexW2744885557WikidataQ117202062 ScholiaQ117202062MaRDI QIDQ1681025

Endre Süli, John W. Barrett

Publication date: 17 November 2017

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.06502

zbMATH Keywords

kinetic polymer modelsOldroyd-B modelHookean dumbbell modeldilute polymerNavier-Stokes-Fokker-Planck system

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Weak solutions to PDEs (35D30) Fokker-Planck equations (35Q84)

Related Items (12)

Corotational Hookean Models of Dilute Polymeric Fluids: Existence of Global Weak Solutions, Weak-Strong Uniqueness, Equilibration, and Macroscopic Closure ⋮ Global existence of weak solutions to two dimensional compressible viscoelastic flows ⋮ Global Strong Solutions for Some Differential Viscoelastic Models ⋮ Strong solutions of the equations for viscoelastic fluids in some classes of large data ⋮ Optimal time-decay estimates for an Oldroyd-B model with zero viscosity ⋮ Numerical simulation of the time-fractional Fokker-Planck equation and applications to polymeric fluids ⋮ Global existence and decay rates of solutions to the Oldroyd-B model with stress tensor diffusion ⋮ Global strong solutions and large time behavior to a micro-macro model for compressible polymeric fluids near equilibrium ⋮ Existence of global weak solutions to the kinetic Peterlin model ⋮ Asymptotic behavior for an Oldroyd-B model in two dimensions ⋮ On diffusive 2D Fokker-Planck-Navier-Stokes systems ⋮ A conservative scheme for the Fokker-Planck equation with applications to viscoelastic polymeric fluids

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