Large-scale regularity for the stationary Navier-Stokes equations over non-Lipschitz boundaries

DOI10.2140/apde.2024.17.171arXiv2106.09160OpenAlexW3168563193WikidataQ128217130 ScholiaQ128217130MaRDI QIDQ6120397

Jinping Zhuge, Christophe Prange, Mitsuo Higaki

Publication date: 20 February 2024

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.09160

zbMATH Keywords

Navier-Stokes equationshomogenizationGreen's functionsboundary layersJohn domainslarge-scale regularity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization applied to problems in fluid mechanics (76M50)

Related Items

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

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