Weak solvability of a fractional Voigt viscoelasticity model

DOI10.1134/S1064562417050283zbMath1482.35264OpenAlexW2765957061MaRDI QIDQ679983

Viktor G. Zvyagin, Vladimir Orlov

Publication date: 22 January 2018

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

Full work available at URL: https://doi.org/10.1134/s1064562417050283

zbMATH Keywords

initial-boundary value problemregularization

Mathematics Subject Classification ID

Weak solutions to PDEs (35D30) PDEs in connection with mechanics of deformable solids (35Q74) Fractional partial differential equations (35R11)

Related Items (3)

On regularity of weak solutions to a generalized Voigt model of viscoelasticity ⋮ On solvability of an initial-boundary value problem for a viscoelasticity model with fractional derivatives ⋮ On the weak solvability of a fractional viscoelasticity model

Cites Work

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• On mathematical models of a viscoelasticity with a memory
• Ordinary differential equations, transport theory and Sobolev spaces
• On weak solutions of a regularized model of a viscoelastic fluid
• On the weak solvability of the problem of viscoelasticity with memory
• Topological Approximation Methods for Evolutionary Problems of Nonlinear Hydrodynamics
• Estimates and regularity results for the DiPerna-Lions flow
• Comments on the validity of a common category of constitutive equations
• Motion of nonlinear visco-elastic fluid

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