Symmetries in equations of incompressible viscoelastic Maxwell medium

DOI10.1007/s10986-018-9401-8zbMath1405.35165OpenAlexW2891820796MaRDI QIDQ1617268

Elena Yu. Fominykh, Vladislav Vasil'evich Pukhnachev

Publication date: 7 November 2018

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10986-018-9401-8

zbMATH Keywords

Lie groupviscoelastic fluidinvariant solutionsMaxwell mediumJohnson-Segalman objective derivative

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Viscoelastic fluids (76A10) Mixed-type systems of PDEs (35M30)

Cites Work

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• Viscoelastic squeeze-film flows – Maxwell fluids
• Mathematical Models in Dynamics of Incompressible Viscoelastic Media
• On the characteristics and compatibility equations for the UCM model fluid
• Comments on the validity of a common category of constitutive equations
• Plane and axi-symmetric stagnation flow of a Maxwellian fluid

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