Weak solvability of fractional Voigt model of viscoelasticity

DOI10.3934/dcds.2018270zbMath1524.76022OpenAlexW2893087186MaRDI QIDQ6105879

Vladimir Orlov, Viktor G. Zvyagin

Publication date: 9 June 2023

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2018270

zbMATH Keywords

weak solutionviscoelastic fluida priori estimateregular Lagrangian flowapproximative recurrences

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (12)

On strong solutions of a fractional nonlinear viscoelastic Voigt-type model ⋮ The problem of the flow of one type of non-Newtonian fluid through the boundary of a multiply connected domain ⋮ The weak solvability of an inhomogeneous dynamic problem for a viscoelastic continuum with memory ⋮ Investigation of the weak solvability of one fractional model with infinite memory ⋮ Solvability of the initial-boundary value problem for the high-order Oldroyd model ⋮ Existence of weak solution to initial-boundary value problem for finite order Kelvin-Voigt fluid motion model ⋮ On the existence of feedback control for one fractional Voigt model ⋮ Fractional operator viscoelastic models in dynamic problems of mechanics of solids: a review ⋮ On regularity of weak solutions to a generalized Voigt model of viscoelasticity ⋮ Weak solvability of one viscoelastic fractional dynamics model of continuum with memory ⋮ Weak solvability and convergence of solutions for the fractional Voigt- model of a viscoelastic medium ⋮ Investigation of the weak solubility of the fractional Voigt alpha-model

Cites Work

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