Solvability of termoviscoelasticity problem for certain Oskolkov's model

DOI10.3103/S1066369X14090072zbMath1311.35067OpenAlexW2117003649MaRDI QIDQ2262920

A. V. Zvyagin, Vladimir Orlov

Publication date: 17 March 2015

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x14090072

zbMATH Keywords

existence theoremselastic-delayed Voigt fluid

Mathematics Subject Classification ID

Weak solutions to PDEs (35D30) PDEs in connection with mechanics of deformable solids (35Q74) Initial-boundary value problems for systems of nonlinear higher-order PDEs (35G61)

Related Items (5)

Solvability of thermoviscoelastic problem for Leray alpha-model ⋮ Weak solvability of Kelvin-Voigt model of thermoviscoelasticity ⋮ Solvability of a parabolic problem with non-smooth data ⋮ Study of solvability of a thermoviscoelastic model describing the motion of weakly concentrated water solutions of polymers ⋮ Solvability of a thermoviscoelastic model of the motion of solutions of polymers satisfying the objectivity principle

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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