Corotational Hookean Models of Dilute Polymeric Fluids: Existence of Global Weak Solutions, Weak-Strong Uniqueness, Equilibration, and Macroscopic Closure

DOI10.1137/22M149867XOpenAlexW4318826990MaRDI QIDQ5887723

Tomasz Dębiec, Endre Süli

Publication date: 13 April 2023

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/22m149867x

zbMATH Keywords

existence of weak solutionskinetic polymer modelsOldroyd-B modelHookean dumbbell modelNavier-Stokes-Fokker-Planck systemrelative energy method

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Statistical mechanics of polymers (82D60) Navier-Stokes equations (35Q30) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (2)

Numerical simulation of the time-fractional Fokker-Planck equation and applications to polymeric fluids ⋮ Analysis of a Dilute Polymer Model with a Time-Fractional Derivative

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