Besov regularity for the stationary Navier–Stokes equation on bounded Lipschitz domains

DOI10.1080/00036811.2016.1272103zbMath1460.35253arXiv1608.00821OpenAlexW2963602091MaRDI QIDQ5856163

Frank Eckhardt, Petru A. Cioica-Licht, Stephan Dahlke

Publication date: 24 March 2021

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.00821

zbMATH Keywords

Besov spacewaveletNavier-Stokes equationfixed point theoremnonlinear approximationStokes equationweighted Sobolev estimate

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Numerical methods for wavelets (65T60)

Related Items (2)

Analytic Regularity for the Incompressible Navier--Stokes Equations in Polygons ⋮ On the limit regularity in Sobolev and Besov scales related to approximation theory

Cites Work

• On the existence and regularity of the solution of Stokes problem in arbitrary dimension
• The Dirichlet problem for the Stokes system on Lipschitz domains
• Adaptive wavelet methods. II: Beyond the elliptic case
• The inhomogeneous Dirichlet problem in Lipschitz domains
• Optimal approximation of elliptic problems by linear and nonlinear mappings. II
• Hybrid function spaces, heat and Navier-Stokes equations
• Besov regularity for the Stokes and the Navier-Stokes system in polyhedral domains
• An Introduction to the Mathematical Theory of the Navier-Stokes Equations
• Maximal functions measuring smoothness
• Finite Element Methods for Navier-Stokes Equations
• On Restrictions and Extensions of the Besov and Triebel-Lizorkin Spaces with Respect to Lipschitz Domains
• Ten Lectures on Wavelets
• Compression of Wavelet Decompositions
• Biorthogonal bases of compactly supported wavelets
• Besov regularity for elliptic boundary value problems
• Intrinsic characterizations of Besov spaces on Lipschitz domains
• Adaptive wavelet methods for elliptic operator equations: Convergence rates
• A proof of the trace theorem of Sobolev spaces on Lipschitz domains
• Estimates for the Stokes operator in Lipschitz domains
• On Besov regularity of solutions to nonlinear elliptic partial differential equations
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