Regularity in Sobolev spaces of steady flows of fluids with shear-dependent viscosity

DOI10.1002/mma.748zbMath1124.35053OpenAlexW2001400109MaRDI QIDQ3419571

Carsten Ebmeyer

Publication date: 7 February 2007

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.748

zbMATH Keywords

power-law fluid\(p\)-LaplacianSobolev spaces of fractional orderNikolskii spacesno-stick conditionnon-Newtonian fluid, shear thinning fluid

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (13)

Existence of weak solutions for non-stationary flows of fluids with shear thinning dependent viscosities under slip boundary conditions in half space ⋮ A counterexample related to the regularity of the \(p\)-Stokes problem ⋮ Boundary regularity of shear thickening flows ⋮ On the existence, uniqueness and regularity of solutions for a class of MHD equations of non-Newtonian type ⋮ Approximation of the \(p\)-Stokes equations with equal-order finite elements ⋮ Boundary regularity of flows under perfect slip boundary conditions ⋮ A note on the regularity of flows with shear-dependent viscosity ⋮ The ice flow behavior in the neighborhood of the grounding line. Non-Newtonian case ⋮ Existence of weak solutions for steady viscous fluids with general slip boundary conditions ⋮ Quasi-steady Stokes flow of multiphase fluids with shear-dependent viscosity ⋮ Global regularity in Nikolskij spaces for elliptic equations with \(p\)-structure on polyhedral domains ⋮ A high regularity result of solutions to modified \(p\)-Stokes equations ⋮ Existence of weak solutions for steady flows of electrorheological fluid with Navier-slip type boundary conditions

Cites Work

• Global regularity in fractional order Sobolev spaces for \(p\)-Laplace equation on polyhedral domains
• Mixed boundary value problems for nonlinear elliptic systems in \(n\)-dimensional Lipschitzian domains
• Mixed boundary value problems for nonlinear elliptic equations in multidimensional non-smooth domains
• Nonlinear elliptic problems with \(p\)-structure under mixed boundary value conditions in polyhedral domains.
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