Weak solvability of thermo-Voigt-\( \alpha\) model

DOI10.1134/S1995080222030246zbMath1490.35364OpenAlexW4226332720MaRDI QIDQ2121971

A. V. Zvyagin, Viktor G. Zvyagin

Publication date: 5 April 2022

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080222030246

zbMATH Keywords

topological degreeexistence theoremVoigt fluidthermoviscoelastic fluidalpha-model

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30)

Cites Work

• Optimal feedback control for a thermoviscoelastic model of Voigt fluid motion
• On certain mathematical models in continuum thermomechanics
• Solvability of the thermoviscoelasticity problem for linearly elastically retarded Voigt fluid
• Compact sets in the space \(L^ p(0,T;B)\)
• Some nonstationary linear and quasilinear systems occuring in the investigation of the motion of viscous fluids
• Existence and uniqueness of the solution of a Boussinesq system with nonlinear dissipation
• Solvability of a parabolic problem with non-smooth data
• On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems
• Weak solvability and convergence of solutions for the fractional Voigt- model of a viscoelastic medium
• ELLIPTIC PROBLEMS WITH A PARAMETER AND PARABOLIC PROBLEMS OF GENERAL TYPE
• Investigation of the weak solubility of the fractional Voigt alpha-model
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