Hyperbolic submodels of an incompressible viscoelastic Maxwell medium

DOI10.1134/S0081543813040081zbMath1291.76041OpenAlexW1966938710MaRDI QIDQ2446199

Vladislav Vasil'evich Pukhnachev, Valery Yu. Liapidevskii

Publication date: 16 April 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543813040081

zbMATH Keywords

shear flowincompressible viscoelastic Maxwell mediumhyperbolic submodelsJaumann corotational derivativeupper or lower convected derivative

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10) First-order nonlinear hyperbolic equations (35L60)

Related Items (4)

Symmetries in equations of incompressible viscoelastic Maxwell medium ⋮ Characteristic properties of the system of equations for an incompressible viscoelastic Maxwell medium ⋮ Couette flow of a viscoelastic Maxwell-type medium with two relaxation times ⋮ On the Voitkunskii-Amfilokhiev-Pavlovskii model of motion of aqueous polymer solutions

Cites Work

• Mathematical model of an incompressible viscoelastic Maxwell medium
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• On the linear stability of plane Couette flow for an Oldroyd-B fluid and its numerical approximation
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• Nonlinear waves in incompressible viscoelastic Maxwell medium
• The propagation of small perturbations in a viscoelastic fluid
• Global existence and one-dimensional nonlinear stability of shearing motions of viscoelastic fluids of Oldroyd type
• On the characteristics and compatibility equations for the UCM model fluid
• COLLAPSE OF SPHERICAL BUBBLES IN VISCOELASTIC LIQUIDS
• Comments on the validity of a common category of constitutive equations
• On a linear instability of a plane parallel couette flow of viscoelastic fluid
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