On the \(C^{1,\gamma}(\overline \varOmega)\cap W^{2,2}(\varOmega) \) regularity for a class of electro-rheological fluids
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Publication:1023002
DOI10.1016/j.jmaa.2009.02.013zbMath1178.35300OpenAlexW2007803457MaRDI QIDQ1023002
Francesca Crispo, Carlo Romano Grisanti
Publication date: 10 June 2009
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.2009.02.013
Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05)
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Cites Work
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- Boundary regularity of shear thickening flows
- A Navier-Stokes-Fourier system for incompressible fluids with temperature dependent material coefficients
- Navier-Stokes equations with shear-thickening viscosity. Regularity up to the boundary
- Navier-Stokes equations with shear thinning viscosity. Regularity up to the boundary
- Incompressible rate-type fluids with pressure and shear-rate dependent material moduli
- Friction boundary conditions on thermal incompressible viscous flows
- On the global regularity of shear thinning flows in smooth domains
- On the existence, uniqueness and \(C^{1,\gamma} (\bar{\Omega}) \cap W^{2,2}(\Omega)\) regularity for a class of shear-thinning fluids
- On the Ladyzhenskaya-Smagorinsky turbulence model of the Navier-Stokes equations in smooth domains. The regularity problem
- Turbulence models, p-fluid flows, and \(W^{2, L}\) regularity of solutions
- A note on the global regularity of steady flows of generalized Newtonian fluids
- Regularity of flow of anisotropic fluid
- Shear thinning viscous fluids in cylindrical domains. Regularity up to the boundary
- On the regularity of shear thickening viscous fluids
- Global analysis of the flows of fluids with pressure-dependent viscosities
- Weak solutions for a class of non-Newtonian fluids with energy transfer
- Steady states of anisotropic generalized Newtonian fluids
- Regularity results for stationary electro-rheological fluids
- On non-Newtonian p-fluids. The pseudo-plastic case
- \(C^{1,\alpha}\)-regularity for electrorheological fluids in two dimensions
- Global regularity of a class of \(p\)-fluid flows in cylinders
- HERSCHEL–BULKLEY FLUIDS: EXISTENCE AND REGULARITY OF STEADY FLOWS
- Navier's slip and evolutionary Navier-Stokes-like systems with pressure and shear-rate dependent viscosity
- Simple flows of fluids with pressure–dependent viscosities
- On the regularity of flows with Ladyzhenskaya Shear-dependent viscosity and slip or non-slip boundary conditions
- Existence, uniqueness and regularity of solution of the equations of a turbulence model for incompressible fluids
- On strong solutions of the differential equations modeling the steady flow of certain incompressible generalized Newtonian fluids
- Optimal Convergence for the Implicit Space‐Time Discretization of Parabolic Systems with p‐Structure
- On steady flows of fluids with pressure– and shear–dependent viscosities
- Mathematical modeling of electrorheological materials
- \(C^{1,\alpha}\)-solutions to a class of nonlinear fluids in two dimensions-stationary Dirichlet problem
- On weak solutions to a class of non-Newtonian incompressible fluids in bounded three-dimensional domains: The case \(p\geq 2\)
