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Title: Spanwise coherent structure of wind turbulence and induced pressure on rectangular cylinders
Issue Date: 2009
Publisher: Cambridge University Press
Abstract: We study the existence of solutions for a class of nonuniformly degenerate elliptic systems in RN, ≥N 3, of the form -div(h 1(x)∇u) + a(x)u = f(x,u,v) inRN -div(h 2(x)∇ v) + b(x)v = g(x,u,v) inRN where hi ∈L1 loc(RN), hi(x) ≥ γ0|x| α with α ∈(0, 2) and γ0 > 0, i = 1, 2. The proofs rely essentially on a variant of the Mountain pass theorem (D. M. Duc, Nonlinear singular elliptic equations, J. Lond. Math. Soc. 40(2) (1989), 420-440) combined with the Caffarelli-Kohn-Nirenberg inequality (First order interpolation inequalities with weights, Composito Math. 53 (1984), 259275). © 2009 Glasgow Mathematical Journal Trust.
Description: Glasgow Mathematical Journal Volume 51, Issue 3, September 2009, Pages 561-570
ISSN: 00170895
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