Existence of Global Weak Solutions to Implicitly Constituted Kinetic Models of Incompressible Homogeneous Dilute Polymers

DOI10.1080/03605302.2012.742104zbMath1277.35118OpenAlexW2091772734MaRDI QIDQ2841172

Miroslav Bulíček, Josef Málek, Endre Süli

Publication date: 24 July 2013

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605302.2012.742104

zbMATH Keywords

non-Newtonian fluidsGalerkin approximationsunsteady flowmaximal monotone graphimplicit constitutive equation

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30)

Related Items (7)

Corotational Hookean Models of Dilute Polymeric Fluids: Existence of Global Weak Solutions, Weak-Strong Uniqueness, Equilibration, and Macroscopic Closure ⋮ Investigation of implicit constitutive relations in which both the stress and strain appear linearly, adjacent to non-penetrating cracks ⋮ A generalization of the Kelvin–Voigt model with pressure‐dependent moduli in which both stress and strain appear linearly ⋮ Well-posedness of the governing equations for a quasi-linear viscoelastic model with pressure-dependent moduli in which both stress and strain appear linearly ⋮ Existence of large-data global weak solutions to kinetic models of nonhomogeneous dilute polymeric fluids ⋮ Analysis of a Dilute Polymer Model with a Time-Fractional Derivative ⋮ An incompressible polymer fluid interacting with a Koiter shell

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