The Two-Dimensional Exterior Stokes Problem, Existence, Regularity and Decay Properties
作者： Maria Specovius Neugebauer
DOI: 10.1002/(SICI)1099-1476(19960510)19:7<507::AID-MMA779>3.0.CO;2-R
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摘要: The Stokes problem - Δu + ⊇p = f, div u g in Ω, u|∂ Ω h is investigated for two-dimensional exterior domains Ω. By means of potential theory, existence, uniqueness and regularity results weak solutions are proved weighted Sobolev spaces with weights proportional to |x| δ as → ∞. For f 0, explicit decay formulas obtained the p. Finally, compared theory r-generalized solutions, i.e. ⊇u∈L'.
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