\(L^{q}\)-theory of the Kelvin-Voigt equations in bounded domains

DOI10.1016/j.jde.2016.02.020zbMath1351.35131OpenAlexW2299483960MaRDI QIDQ267502

Pedro D. Damázio, Patrícia Manholi, Ana Leonor Silvestre

Publication date: 8 April 2016

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2016.02.020

zbMATH Keywords

strong solutionsweak solutionsStokes operatorsemigroup theorybounded domainKelvin-Voigt equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10) Weak solutions to PDEs (35D30) Strong solutions to PDEs (35D35)

Related Items (6)

Continuous dependence and convergence for a Kelvin-Voigt fluid of order one ⋮ Thermal convection in a Brinkman-Darcy-Kelvin-Voigt fluid with a generalized Maxwell-Cattaneo law ⋮ Discontinuous Galerkin approximations for an optimal control problem of three-dimensional Navier-Stokes-Voigt equations ⋮ Stabilization estimates for the Brinkman-Forchheimer-Kelvin-Voigt equation backward in time ⋮ Effect of temperature upon double diffusive instability in Navier-Stokes-Voigt models with Kazhikhov-Smagulov and Korteweg terms ⋮ The Navier-Stokes-Voigt equations with position-dependent slip boundary conditions

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