Boundary partial regularity for steady flows of electrorheological fluids in 3D bounded domains

DOI10.1016/j.na.2018.08.009zbMath1404.35079OpenAlexW2894044086MaRDI QIDQ1633694

Cholmin Sin

Publication date: 20 December 2018

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2018.08.009

zbMATH Keywords

homogeneous Dirichlet boundary conditionvariable exponentregularity up to the boundary

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Non-Newtonian fluids (76A05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30) Strong solutions to PDEs (35D35)

Related Items (10)

Time regularity of generalized Navier-Stokes equation with $p(x,t)$-power law ⋮ Time regularity for parabolic \(p(x, t)\)-Laplacian system depending on the symmetric gradient ⋮ \(C^{1, \alpha}\)-regularity for steady flows of electrorheological fluids in 2D ⋮ Local higher integrability for unsteady motion equations of generalized Newtonian fluids ⋮ Interior gradient estimate for steady flows of electrorheological fluids ⋮ High regularity of the solution to the singular elliptic \(p(\cdot)\)-Laplacian system ⋮ The existence of strong solution for generalized Navier-Stokes equations with \(p(x)\)-power law under Dirichlet boundary conditions ⋮ Hölder continuity of solutions for unsteady generalized Navier-Stokes equations with \(p(x,t)\)-power law in 2D ⋮ Global higher integrability for symmetric \(p(x, t)\)-Laplacian system ⋮ Existence of weak solutions for steady flows of electrorheological fluid with Navier-slip type boundary conditions

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