Solvability of the thermoviscoelasticity problem for linearly elastically retarded Voigt fluid

DOI10.1134/S0001434615050053zbMath1326.35297OpenAlexW2234120009MaRDI QIDQ745605

A. V. Zvyagin, Vladimir Orlov

Publication date: 14 October 2015

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

Full work available at URL: https://doi.org/10.1134/s0001434615050053

zbMATH Keywords

Banach spaceLeray-Schauder degree theoryinitial boundary-value problemthermoviscoelasticity problemVoigt fluid

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10) Linear constitutive equations for materials with memory (74D05)

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Cites Work

• On one problem of dynamics of thermoviscoelastic medium of Oldroyd type
• Compact sets in the space \(L^ p(0,T;B)\)
• Existence and uniqueness of the solution of a Boussinesq system with nonlinear dissipation
• Solvability for equations of motion of weak aqueous polymer solutions with objective derivative
• A weak solvability of a system of thermoviscoelasticity for the Jeffreys model
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