Some properties of the Doi-Edwards and K-BKZ equations and operators

DOI10.1016/j.na.2014.07.008zbMath1432.35175OpenAlexW2051738698MaRDI QIDQ399113

Arnaud Heibig

Publication date: 19 August 2014

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2014.07.008

zbMATH Keywords

existenceuniquenessshear flowDoi-Edwards polymer modelevolutionary integro-differential equationK-BKZ equationK-BKZ operatorK-BKZ viscoelastic fluid

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (1)

Mathematical existence results for the Doi-Edwards polymer model

Cites Work

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• Global existence of smooth shearing motions of a nonlinear viscoelastic fluid
• Corrigendum to ``Weak solutions of a class of quasilinear hyperbolic integro-differential equations describing viscoelastic materials
• Existence results for the flow of viscoelastic fluids with an integral constitutive law
• Existence and uniqueness results for the Doi–Edwards polymer melt model: the case of the (full) nonlinear configurational probability density equation
• Global Existence and Asymptotic Stability for a Nonlinear Integrodifferential Equation Modeling Heat Flow
• 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
• A Study of Stress Relaxation with Finite Strain

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