Global regularity of shear thickening Stokes system with Dirichlet boundary condition on non-smooth domains

DOI10.1007/s00021-022-00661-yzbMath1490.35305OpenAlexW4214939927MaRDI QIDQ2113869

Namkyeong Cho

Publication date: 14 March 2022

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00021-022-00661-y

zbMATH Keywords

non-Newtonian fluidStokes systemsymmetric gradientReifenberg flat

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Boundary value problems for second-order elliptic equations (35J25) PDEs in connection with fluid mechanics (35Q35) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

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• Nonlinear gradient estimates for generalized elliptic equations with nonstandard growth in nonsmooth domains
• Boundary regularity of shear thickening flows
• Campanato estimates for the generalized Stokes system
• Weighted \(L_{q}\)-estimates for stationary Stokes system with partially BMO coefficients
• Solutions of the divergence operator on John domains
• Harmonic measure on locally flat domains
• Global gradient estimates for spherical quasi-minimizers of integral functionals with \(p(x)\)-growth
• Global gradient estimates for parabolic equations with measurable nonlinearities
• Global gradient estimates for divergence-type elliptic problems involving general nonlinear operators
• \(L^q\) theory for a generalized Stokes system
• Elliptic equations with measurable coefficients in Reifenberg domains
• Higher integrability of solutions to generalized Stokes system under perfect slip boundary conditions
• Higher integrability result for nonlinear elliptic systems with conormal boundary conditions
• The singular set of minima of integral functionals
• Teoremi di inclusione per spazi di Sobolev non isotropi
• Weighted estimates for generalized steady Stokes systems in nonsmooth domains
• Parabolic Systems with Polynomial Growth and Regularity
• Elliptic equations with BMO coefficients in Reifenberg domains
• A decomposition technique for John domains
• Regularity of differential forms minimizing degenerate elliptic functionals.
• POTENTIAL-THEORETIC CHARACTERIZATIONS OF NONSMOOTH DOMAINS
• On the extension property of Reifenberg-flat domains
• Existence theory for generalized Newtonian fluids

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