Global regularity of weak solutions for steady motions of electrorheological fluids in 3D smooth domain
From MaRDI portal
Publication:1706389
DOI10.1016/j.jmaa.2017.10.081zbMath1387.35082OpenAlexW2767396762MaRDI QIDQ1706389
Publication date: 22 March 2018
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.10.081
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Weak solutions to PDEs (35D30) Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena (76A99) Strong solutions to PDEs (35D35)
Related Items (11)
Boundary partial regularity for steady flows of electrorheological fluids in 3D bounded domains ⋮ 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 ⋮ On the existence of classical solution to the steady flows of generalized Newtonian fluid with concentration dependent power-law index ⋮ 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
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The existence of strong solutions to steady motion of electrorheological fluids in 3D cubic domain
- Boundary regularity of shear thickening flows
- Variable Lebesgue spaces. Foundations and harmonic analysis
- Existence of steady solutions for micropolar electrorheological fluid flows
- Lebesgue and Sobolev spaces with variable exponents
- A Poincaré inequality in a Sobolev space with a variable exponent
- Strong solutions for generalized Newtonian fluids
- On the \(W ^{2,q }\)-regularity of incompressible fluids with shear-dependent viscosities: The shear-thinning case
- Navier-Stokes equations with shear thinning viscosity. Regularity up to the boundary
- Modeling, mathematical and numerical analysis of electrorheological fluids.
- On the global regularity of shear thinning flows in smooth domains
- Overview of differential equations with non-standard growth
- On the \(C^{1,\gamma}(\overline \varOmega)\cap W^{2,2}(\varOmega) \) regularity for a class of electro-rheological fluids
- Interior differentiability of weak solutions to the equations of stationary motion of a class of non-Newtonian fluids
- Regularity results for stationary electro-rheological fluids
- Existence of strong solutions for incompressible fluids with shear-dependent viscosities
- Boundary regularity for the steady Stokes type flow with shear thickening viscosity
- A high regularity result of solutions to modified \(p\)-Stokes equations
- Nonlinear elliptic equations with variable exponent: old and new
- On non-Newtonian p-fluids. The pseudo-plastic case
- Existence of local strong solutions for motions of electrorheological fluids in three dimensions
- \(C^{1,\alpha}\)-regularity for electrorheological fluids in two dimensions
- Stationary electro-rheological fluids: Low order regularity for systems with discontinuous coefficients
- Anisotropic variable exponent Sobolev spaces and -Laplacian equations
- A regularity result for stationary electrorheological fluids in two dimensions
- Evolution PDEs with Nonstandard Growth Conditions
- Partial Differential Equations with Variable Exponents
- Rheology and Non-Newtonian Fluids
- On nonlinear potential theory, and regular boundary points, for the p-Laplacian in N space variables
- On Lipschitz truncations of Sobolev functions (with variable exponent) and their selected applications
This page was built for publication: Global regularity of weak solutions for steady motions of electrorheological fluids in 3D smooth domain
