On the Voitkunskii-Amfilokhiev-Pavlovskii model of motion of aqueous polymer solutions

DOI10.1134/S0081543818010145zbMath1458.76008OpenAlexW2803921031MaRDI QIDQ721440

O. A. Frolovskaya, Vladislav Vasil'evich Pukhnachev

Publication date: 19 July 2018

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

Full work available at URL: https://doi.org/10.1134/s0081543818010145

zbMATH Keywords

pipe flowweak discontinuitysmall relaxation time

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Statistical mechanics of polymers (82D60) Viscoelastic fluids (76A10)

Related Items (4)

Weak solvability of the nonlinearly viscous Pavlovskii model ⋮ Exact solutions of second-grade fluid equations ⋮ An alpha-model of polymer solutions motion ⋮ Motion of an aqueous polymer solution with a free boundary

Cites Work

• Initial boundary-value problems with a free surface condition for the modified Navier-Stokes equations
• A new family of exact solutions of Navier-Stokes equations
• Analytical and numerical investigation of unsteady flow near a critical point
• Unsteady self-similar viscous flow near a stagnation point
• Solvability for equations of motion of weak aqueous polymer solutions with objective derivative
• Hyperbolic submodels of an incompressible viscoelastic Maxwell medium
• Comments on the validity of a common category of constitutive equations
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