On strong solutions of a fractional nonlinear viscoelastic Voigt-type model

DOI10.3103/S1066369X19120107zbMath1450.35226OpenAlexW3003567156MaRDI QIDQ2191562

Vladimir Orlov, Viktor G. Zvyagin

Publication date: 25 June 2020

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

Full work available at URL: https://doi.org/10.3103/s1066369x19120107

zbMATH Keywords

initial boundary value problemfractional derivativenonlinear viscoelastic mediumVoigt-type model

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10) Fractional derivatives and integrals (26A33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35)

Related Items (1)

On small motions of hydrodynamic systems containing a viscoelastic fluid

Cites Work

• On the strong solutions of a regularized model of a nonlinear visco-elastic medium
• Weak solvability of the generalized Voigt viscoelasticity model
• Weak solvability of fractional Voigt model of viscoelasticity
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