On the existence of weak solutions for the initial-boundary value problem in the Jeffreys model of motion of a viscoelastic medium

DOI10.1155/S1085337504401018zbMath1072.35157OpenAlexW2082990087MaRDI QIDQ1773456

Dmitry A. Vorotnikov, Viktor G. Zvyagin

Publication date: 29 April 2005

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/51678

zbMATH Keywords

weak solutionsJeffreys constitutive lawviscoelastic medium ``with memory

Mathematics Subject Classification ID

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

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Uniform attractors for non-autonomous motion equations of viscoelastic medium ⋮ Weak solvability of the nonlinearly viscous Pavlovskii model ⋮ On a Weak Solvability of a System of Thermoviscoelasticity of Oldroyd’s Type ⋮ Pullback attractors of the Jeffreys-Oldroyd equations ⋮ A weak solvability of a system of thermoviscoelasticity for the Jeffreys model ⋮ On a model of thermoviscoelasticity of Jeffreys-Oldroyd type ⋮ On the convergence of solutions of the regularized problem for motion equations of Jeffreys viscoelastic medium to solutions of the original problem ⋮ Topological approximation approach to study of mathematical problems of hydrodynamics ⋮ Optimal control in a model of the motion of a viscoelastic medium with objective derivative

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