Existence of weak solutions for steady viscous fluids with general slip boundary conditions
DOI10.1016/j.na.2010.06.020zbMath1194.35339OpenAlexW2047234132MaRDI QIDQ988140
Jingjun Zhang, Bo-ling Guo, Chun Xiao Guo
Publication date: 26 August 2010
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.2010.06.020
Non-Newtonian fluids (76A05) Nonlinear boundary value problems for linear elliptic equations (35J65) PDEs in connection with fluid mechanics (35Q35) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Degenerate elliptic equations (35J70) Theoretical approximation in context of PDEs (35A35) Applications of operator theory to differential and integral equations (47N20) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)
Cites Work
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- Degenerate parabolic equations
- Navier-Stokes equations with shear-thickening viscosity. Regularity up to the boundary
- Navier-Stokes equations with shear thinning viscosity. Regularity up to the boundary
- 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
- Existence and uniqueness of classical solutions of the equations of motion for second-grade fluids
- Existence and uniqueness of the flow of second-grade fluids with slip boundary conditions
- Remarks on the Euler equation
- Existence of strong solutions for incompressible fluids with shear-dependent viscosities
- Regularity for Stokes and generalized Stokes systems under nonhomogeneous slip-type boundary conditions
- Regularity in Sobolev spaces of steady flows of fluids with shear-dependent viscosity
- On steady third grade fluids equations
- A note on steady flow of fluids with shear dependent viscosity
- An existence result for fluids with shear dependent viscosity — Steady flows
- On Analysis of Steady Flows of Fluids with Shear-Dependent Viscosity Based on the Lipschitz Truncation Method
- On the regularity of flows with Ladyzhenskaya Shear-dependent viscosity and slip or non-slip boundary conditions
- ON THE NON-NEWTONIAN INCOMPRESSIBLE FLUIDS
- EXISTENCE AND REGULARITY OF SOLUTIONS AND THE STABILITY OF THE REST STATE FOR FLUIDS WITH SHEAR DEPENDENT VISCOSITY
- Global existence and uniqueness result of a class of third-grade fluids equations
- On the Existence and Uniqueness of Weak Solutions for a Vorticity Seeding Model
- New global a priori estimates for the third‐grade fluid equations
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