The stokes–system in exterior domains:existence, uniqueness, and regularity of solutions in lp–spaces.

DOI10.1080/03605309108820809zbMath0745.35029OpenAlexW1972124262MaRDI QIDQ3985953

Paul Deuring

Publication date: 27 June 1992

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309108820809

zbMATH Keywords

Dirichlet boundary conditionSchauder theory

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Singular nonlinear integral equations (45G05)

Related Items

Lq$L^q$‐weak solutions to the time‐dependent 3D Oseen system: Decay estimates, On the boundedness of the Stokes semigroup in two-dimensional exterior domains

Cites Work

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• The resolvent problem for the stokes system in exterior domains: An elementary approach
• Efficient boundary element methods for three-dimensional exterior viscous flows
• Exterior stokes problems and decay at infinity