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The Two-Dimensional Exterior Stokes Problem, Existence, Regularity and Decay Properties (1996)

Neugebauer, Maria Specovius

Chichester, West Sussex : Wiley-Blackwell

Mathematical Methods in the Applied Sciences 19 (1996), S. 507-528

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ISSN: 0170-4214

Keywords: Engineering ; Numerical Methods and Modeling

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Mathematics

Notes: 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 for weak solutions are proved in weighted Sobolev spaces with weights proportional to ∣x∣δ as ∣x∣→∞. For f = 0,g = 0, explicit decay formulas are obtained for the solutions u and p. Finally, the results are compared with the theory of r-generalized solutions, i.e. ∇u∊Lr.

Type of Medium: Electronic Resource

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