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  • FLUID MECHANICS  (1)
  • Sobolev functions  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Potential analysis 6 (1997), S. 347-353 
    ISSN: 1572-929X
    Keywords: Sobolev functions ; trace ; harmonic measure ; Dirichlet finite.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We investigate the existence of finely continuous Sobolev functions u ∈ $$W^{1,p} (R^n ) $$ which have traces $$u|_{R^{n - 1} } $$ equal to the characteristic function of a bounded set E $$ subset R^{n - 1} $$ . As an application we examine the existence of Dirichlet finite p-harmonic measures on the unit ball of R n.
    Type of Medium: Electronic Resource
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  • 2
    Publication Date: 2019-06-27
    Description: Finite difference relaxation solutions of the nonlinear small perturbation equations have proven reliable and successful in determining the transonic flowfields about thin airfoils. However, application of the small perturbation approach to thick airfoils usually results in an accuracy less than desirable. The incorporation of Riegels' Rule and time-like damping into the small perturbation approach and their application to thick and thin airfoils in transonic flow are discussed. Studies for thick and thin airfoils are presented. It is concluded that Riegels' Rule and damping should both be included in small perturbation transonic flow calculations.
    Keywords: FLUID MECHANICS
    Type: NASA-CR-138181 , TAMRF-3033-7401 , AIAA Southwestern Student Paper Competition; Arlington, TX; United States
    Format: application/pdf
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