The Navier-Stokes-Voigt equations with position-dependent slip boundary conditions

DOI10.1007/s00033-022-01881-yzbMath1503.35149OpenAlexW4311185028MaRDI QIDQ2105247

Evgenii S. Baranovskii

Publication date: 8 December 2022

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-022-01881-y

zbMATH Keywords

weak solutionslong-time behaviorexistence and uniquenessNavier-Stokes-Voigt equationsNavier slip conditions

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

• Unnamed Item
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• \(L^{q}\)-theory of the Kelvin-Voigt equations in bounded domains
• Mechanics and mathematics of fluids of the differential type
• Remarks on uniform attractors for the 3D non-autonomous Navier-Stokes-Voight equations
• Taylor problem for the zero-order model of an incompressible viscoelastic fluid
• Mixed initial-boundary value problem for equations of motion of Kelvin-Voigt fluids
• The nonlinear Hodge-Navier-Stokes equations in Lipschitz domains.
• Suitable weak solutions to the 3D Navier-Stokes equations are constructed with the Voigt approximation
• On time-dependent flows of visco-elastic fluids
• Gevrey regularity for the attractor of the 3D Navier-Stokes-Voight equations
• Flows of a polymer fluid in domain with impermeable boundaries
• The incompressible Navier-Stokes system with time-dependent Robin-type boundary conditions
• On the statistical properties of the 3D incompressible Navier-Stokes-Voigt model
• Invariant measures for the 3D Navier-Stokes-Voigt equations and their Navier-Stokes limit
• Compact sets in the space \(L^ p(0,T;B)\)
• Initial-boundary value problems for the equations of motion of Kelvin- Voigt fluids and Oldroyd fluids
• In memory A. P. Oskolkov (1934-1995)
• On a boundary value problem for a stationary system of Navier-Stokes equations
• Thermodynamics, stability, and boundedness of fluids of complexity 2 and fluids of second grade
• Nonlocal problems for the equations of motion of Kelvin-Voigt fluids
• Fluids of differential type: Critical review and thermodynamic analysis
• Flows of incompressible viscous liquids with anisotropic wall slip
• Navier-Stokes-Voigt equations with memory in 3D lacking instantaneous kinematic viscosity
• On a model for dynamics of weak-compressible viscous-elastic liquid
• Sharp inviscid limit results under Navier-type boundary conditions. An \(L^p\) theory
• Theory of nonstationary flows of Kelvin-Voigt fluids
• Regularity of uniform attractor for 3D non-autonomous Navier-Stokes-Voigt equation
• Pullback attractors for three-dimensional non-autonomous Navier–Stokes–Voigt equations
• On the Navier-Stokes equation with boundary conditions based on vorticity
• Direct Methods in the Theory of Elliptic Equations
• A finite element discretization of the three-dimensional Navier–Stokes equations with mixed boundary conditions
• Vector potentials in three-dimensional non-smooth domains
• The Laplace Equation
• On some unresolved issues in non-linear fluid dynamics
• Blow-up of Oskolkov's system of equations

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