Higher-order boundary layers and regularity for Stokes systems over rough boundaries

DOI10.1007/s00205-023-01899-0zbMath1518.35180arXiv2203.16752OpenAlexW4384299169MaRDI QIDQ6165025

Jinping Zhuge, Mitsuo Higaki

Publication date: 28 July 2023

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.16752

zbMATH Keywords

periodically oscillating John domains

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items

Convergence rates for the stationary and non-stationary Navier–Stokes equations over non-Lipschitz boundaries

Cites Work

• Unnamed Item
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• Navier wall law for nonstationary viscous incompressible flows
• Mesoscopic higher regularity and subadditivity in elliptic homogenization
• Well-posedness of the Stokes-Coriolis system in the half-space over a rough surface
• Nonlinear boundary layers for rotating fluids
• Boundary estimates in elliptic homogenization
• Effective boundary condition at a rough surface starting from a slip condition
• Periodic homogenization of elliptic systems
• The Navier wall law at a boundary with random roughness
• A regularity theory for random elliptic operators
• Regularity for the stationary Navier-Stokes equations over bumpy boundaries and a local wall law
• Solutions of the divergence operator on John domains
• Relevance of the slip condition for fluid flows near an irregular boundary
• Effective boundary conditions for laminar flows over periodic rough boundaries
• High order correctors and two-scale expansions in stochastic homogenization
• Improved regularity in bumpy Lipschitz domains
• Couette flows over a rough boundary and drag reduction
• Large-scale regularity of nearly incompressible elasticity in stochastic homogenization
• Regularity theory of elliptic systems in \(\varepsilon\)-scale flat domains
• Uniform Lipschitz estimates in bumpy half-spaces
• Periodic homogenization of Green's functions for Stokes systems
• Quantitative
• Effective slip law for general viscous flows over an oscillating surface
• Rotation and strain
• Wall laws for viscous fluids near rough surfaces
• Wall laws for fluid flows at a boundary with random roughness
• High order multi-scale wall-laws, Part I: The periodic case
• Injectivity theorems in plane and space
• Long-time homogenization and asymptotic ballistic transport of classical waves
• Quantitative Stochastic Homogenization and Large-Scale Regularity
• On the roughness-induced effective boundary conditions for an incompressible viscous flow
• Higher order convergence rates in theory of homogenization: equations of non-divergence form
• <scp>Large‐Scale</scp> Analyticity and Unique Continuation for Periodic Elliptic Equations