On NAVIER-STOKES and KELVIN-VOIGT Equations in Three Dimensions in Interpolation Spaces

DOI10.1002/MANA.19921550112zbMath0799.47030OpenAlexW2135690471MaRDI QIDQ4016287

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Publication date: 14 December 1992

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.19921550112

zbMATH Keywords

existence of weak solutions stationary problem weak and strong solutions nonlinear interpolation arguments three-dimensional initial-boundary value problem of the Navier-Stokes and Kelvin-Voigt equation over bounded domains

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) General theory of partial differential operators (47F05) Abstract interpolation of topological vector spaces (46M35)

Related Items (8)

Global attractors, exponential attractors and determining modes for the three dimensional Kelvin-Voigt fluids with ``Fading memory ⋮ Approximate continuous data assimilation of the 2D Navier-Stokes equations via the Voigt-regularization with observable data ⋮ Global well-posedness of the velocity-vorticity-Voigt model of the 3D Navier-Stokes equations ⋮ Poro-Visco-Elastic Compaction in Sedimentary Basins ⋮ Higher-order global regularity of an inviscid Voigt-regularization of the three-dimensional inviscid resistive magnetohydrodynamic equations ⋮ Regularity and convergence results of the velocity-vorticity-Voigt model of the 3D Boussinesq equations ⋮ On the three dimensional Kelvin-Voigt fluids: global solvability, exponential stability and exact controllability of Galerkin approximations ⋮ A Navier-Stokes-Voight model with memory

Cites Work

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