Weighted estimates for generalized steady Stokes systems in nonsmooth domains

DOI10.1063/1.4976501zbMath1365.35103arXiv1609.03290OpenAlexW3101954152MaRDI QIDQ2968441

Sun-Sig Byun, Hyoungsuk So

Publication date: 13 March 2017

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.03290

zbMATH Keywords

discontinuous coefficientsStokessteadynon smooth domain

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30) Second-order elliptic systems (35J47) Boundary value problems for second-order elliptic systems (35J57)

Related Items (12)

Calderón-Zygmund estimate for homogenization of steady state Stokes systems in nonsmooth domains ⋮ Uniform estimates with data from generalized Lebesgue spaces in periodic structures ⋮ Conormal derivative problems for stationary Stokes system in Sobolev spaces ⋮ Weighted Lorentz and Lorentz–Morrey estimates to viscosity solutions of fully nonlinear elliptic equations ⋮ Weighted \(L_{q}\)-estimates for stationary Stokes system with partially BMO coefficients ⋮ Green functions of conormal derivative problems for stationary Stokes system ⋮ Variable Lorentz estimate for conormal derivative problems of stationary Stokes system with partially BMO coefficients ⋮ Variable Lorentz estimate for stationary Stokes system with partially BMO coefficients ⋮ Pointwise estimates for Stokes systems with BMO coefficients in Reifenberg domains ⋮ Nonlinear gradient estimates for double phase elliptic problems with irregular double obstacles ⋮ Regularity estimates for stationary Stokes problem in some generalized function spaces ⋮ Global regularity of shear thickening Stokes system with Dirichlet boundary condition on non-smooth domains

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The nonlinear Stokes problem with general potentials having superquadratic growth
• Morrey space regularity for weak solutions of Stokes systems with VMO coefficients
• Campanato estimates for the generalized Stokes system
• Weighted and regularity estimates for nonlinear equations on Reifenberg flat domains
• On a generalized Stokes problem
• Divergence form operators in Reifenberg flat domains
• Solutions of the divergence operator on John domains
• Gradient estimates for elliptic systems in non-smooth domains
• A new proof of Reifenberg's topological disc theorem
• Harmonic measure on locally flat domains
• Weighted \(L^q\)-theory for the Stokes resolvent in exterior domains
• Variants of the Stokes problem: the case of anisotropic potentials
• Variational methods for problems from plasticity theory and for generalized Newtonian fluids
• Sobolev-Poincaré implies John
• \(L^q\) theory for a generalized Stokes system
• Initial-boundary value problem for generalized Stokes equations
• An Introduction to the Mathematical Theory of the Navier-Stokes Equations
• Elliptic equations with BMO coefficients in Reifenberg domains
• A Unified Theory for Some Non-Newtonian Fluids Under Singular Forcing
• A decomposition technique for John domains
• POTENTIAL-THEORETIC CHARACTERIZATIONS OF NONSMOOTH DOMAINS
• Weighted Norm Inequalities for the Hardy Maximal Function

This page was built for publication: Weighted estimates for generalized steady Stokes systems in nonsmooth domains