On solvability of a fluid flow alpha-model with memory

DOI10.3103/S1066369X18060075zbMath1433.76014OpenAlexW2807080475MaRDI QIDQ1795329

A. V. Zvyagin, Dmitry M. Polyakov, Viktor G. Zvyagin

Publication date: 16 October 2018

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

Full work available at URL: https://doi.org/10.3103/s1066369x18060075

zbMATH Keywords

existence theoremregular Lagrangian flownon-Newtonian hydrodynamicsalpha-modelfluid with memory

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) PDEs in connection with fluid mechanics (35Q35) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Viscoelastic fluids (76A10) Weak solutions to PDEs (35D30)

Related Items (4)

Dissipative solvability of Jeffreys-Oldroyd-\(\alpha\) model ⋮ Attractors for weak solutions of a regularized model of viscoelastic mediums motion with memory in non-autonomous case ⋮ The existence theorem for a weak solution to initial-boundary value problem for system of equations describing the motion of weak aqueous polymer solutions ⋮ Investigation of the weak solubility of the fractional Voigt alpha-model

Cites Work

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• On the solvability of the Jeffreys-Oldroyd-\(\alpha\) model
• Ordinary differential equations, transport theory and Sobolev spaces
• On weak solutions of an initial-boundary value problem for the equation of motion of a viscoelastic fluid.
• On weak solutions of a regularized model of a viscoelastic fluid
• Topological approximation approach to study of mathematical problems of hydrodynamics
• On the weak solvability of the problem of viscoelasticity with memory
• Global generalized solutions for Maxwell-alpha and Euler-alpha equations
• Estimates and regularity results for the DiPerna-Lions flow

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