Solvability of one non-Newtonian fluid dynamics model with memory

DOI10.1016/j.na.2018.02.012zbMath1392.35244OpenAlexW2792839612WikidataQ130083545 ScholiaQ130083545MaRDI QIDQ1748240

Vladimir Orlov, Viktor G. Zvyagin

Publication date: 9 May 2018

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2018.02.012

zbMATH Keywords

initial-boundary value problemmeasure of noncompactnesstopological degreeviscoelastic fluidtopological approximation methodregular Lagrangian flow

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Integro-partial differential equations (45K05) PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30)

Related Items (11)

Optimal feedback control problem for inhomogeneous Voigt fluid motion 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 ⋮ Uniform attractors for non-autonomous systems of nonlinearly viscous fluid ⋮ On weak solvability of a flow problem for viscoelastic fluid with 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 ⋮ Weak solvability of one viscoelastic fractional dynamics model of continuum with memory ⋮ Equivalence of weak solvability of initial-boundary value problems for the Jeffries-Oldroyd model and one integro-differential system with memory ⋮ On the weak solvability of a fractional viscoelasticity model ⋮ Attractors for model of viscoelastic media with memory motion in non-autonomous case

Cites Work

• On solvability of some initial-boundary problems for mathematical models of the motion of nonlinearly viscous and viscoelastic fluids
• On the strong solutions of a regularized model of a nonlinear visco-elastic medium
• Transport equation and Cauchy problem for BV vector fields
• On mathematical models of a viscoelasticity with a memory
• Ordinary differential equations, transport theory and Sobolev spaces
• On the convergence of solutions of the regularized problem for motion equations of Jeffreys viscoelastic medium to solutions of the original problem
• Initial-boundary value problems for the equations of motion of Kelvin- Voigt fluids and Oldroyd fluids
• 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
• The topological degree method for equations of the Navier-Stokes type
• Homotopy classification of a class of continuous mappings
• ON THE ORIENTED DEGREE OF A CERTAIN CLASS OF PERTURBATIONS OF FREDHOLM MAPPINGS, AND ON BIFURCATION OF SOLUTIONS OF A NONLINEAR BOUNDARY VALUE PROBLEM WITH NONCOMPACT PERTURBATIONS
• 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
• Motion of nonlinear visco-elastic fluid
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