Nonlocal problems for the equations of the Kelvin-Voigt fluids and their \(\varepsilon\)-approximations

DOI10.1007/BF02355590zbMath0927.76005MaRDI QIDQ1376822

A. P. Oskolkov

Publication date: 17 January 1999

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/68541

zbMATH Keywords

initial-boundary value problemsglobal smooth solutionstime-periodic boundary problems

Mathematics Subject Classification ID

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

Related Items (6)

An inverse problem for Kelvin–Voigt equations perturbed by isotropic diffusion and damping ⋮ A problem with integral conditions in the time variable for a Sobolev-type system of equations with constant coefficients ⋮ Mixed initial-boundary value problem for equations of motion of Kelvin-Voigt fluids ⋮ The classical Kelvin–Voigt problem for incompressible fluids with unknown non-constant density: existence, uniqueness and regularity ⋮ Cauchy problem for the Navier-Stokes-Voigt model governing nonhomogeneous flows ⋮ An inverse problem for generalized Kelvin–Voigt equation with p-Laplacian and damping term

Cites Work

• Initial boundary-value problems with a free surface condition for the modified Navier-Stokes equations
• Smooth and convergent \(\varepsilon\)-approximations of the first boundary value problem for equations of the Kelvin-Voigt and Oldroyd fluids
• Nonlocal problems for one class of nonlinear operator equations that arise in the theory of Sobolev type equations
• Nonlocal problems in the theory of the motion equations of Kelvin-Voigt fluids
• The initial boundary value problem with a free surface condition for the \(\varepsilon\)-approximations of the Navier-Stokes equations and some of their regularizations
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• Attractors for the Penalized Navier–Stokes Equations
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