On one problem of viscoelastic fluid dynamics with memory on an infinite time interval

DOI10.3934/DCDSB.2018114zbMath1404.76017OpenAlexW2796924314WikidataQ128140364 ScholiaQ128140364MaRDI QIDQ1756856

Viktor G. Zvyagin, Vladimir Orlov

Publication date: 27 December 2018

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

Full work available at URL: https://doi.org/10.3934/dcdsb.2018114

zbMATH Keywords

weak solutionviscoelastic fluida priori estimateregular Lagrangian flowapproximative recurrences

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35)

Related Items (6)

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 ⋮ On weak solvability of a flow problem for viscoelastic fluid with memory ⋮ On regularity of weak solutions to a generalized Voigt model of viscoelasticity ⋮ Weak solvability of one viscoelastic fractional dynamics model of continuum with memory

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On certain mathematical models in continuum thermomechanics
• On solvability of some initial-boundary problems for mathematical models of the motion of nonlinearly viscous and viscoelastic fluids
• On mathematical models of a viscoelasticity with a memory
• Ordinary differential equations, transport theory and Sobolev spaces
• On weak solutions of a regularized model of a viscoelastic fluid
• The topological degree method for equations of the Navier-Stokes type
• On the weak solvability of the problem of viscoelasticity with memory
• Topological Approximation Methods for Evolutionary Problems of Nonlinear Hydrodynamics
• Estimates and regularity results for the DiPerna-Lions flow
• A new dissipation model based on memory mechanism
• On Korn's second inequality
• Motion of nonlinear visco-elastic fluid
• Equations of parabolic type in a Banach space

This page was built for publication: On one problem of viscoelastic fluid dynamics with memory on an infinite time interval