Besov regularity for the Stokes and the Navier-Stokes system in polyhedral domains

DOI10.1002/zamm.201300096zbMath1333.35161OpenAlexW2001721033MaRDI QIDQ2799054

Frank Eckhardt

Publication date: 8 April 2016

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.201300096

zbMATH Keywords

waveletsweighted Sobolev spacesBesov spacesStokes systemnonlinear and adaptive approximationcharacterization of function spaces

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30)

Related Items (3)

Adaptive Wavelet Schwarz Methods for the Navier-Stokes Equation ⋮ On the limit regularity in Sobolev and Besov scales related to approximation theory ⋮ Besov regularity for the stationary Navier–Stokes equation on bounded Lipschitz domains

Cites Work

• Nonlinear and adaptive frame approximation schemes for elliptic PDEs: Theory and numerical experiments
• On Restrictions and Extensions of the Besov and Triebel-Lizorkin Spaces with Respect to Lipschitz Domains
• Compression of Wavelet Decompositions
• Besov regularity for elliptic boundary value problems
• Adaptive wavelet methods for elliptic operator equations: Convergence rates
• Stationary Stokes and Navier–Stokes Systems on Two- or Three-Dimensional Domains with Corners. Part I. Linearized Equations
• On Besov regularity of solutions to nonlinear elliptic partial differential equations

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