Roughness effect on Neumann boundary condition
نویسندگان
چکیده
منابع مشابه
Roughness effect on the Neumann boundary condition
We study the effect of a periodic roughness on a Neumann boundary condition. We show that, as in the case of a Dirichlet boundary condition, it is possible to approach this condition by a more complex law on a domain without rugosity, called wall law. This approach is however different from that usually used in Dirichlet case. In particular, we show that this wall law can be explicitly written ...
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Ω |∇u| )]p−1 ∆pu = f (u, v)+ ρ1(x) in Ω, − [ M2 (∫ Ω |∇v| )]p−1 ∆pv = g(u, v)+ ρ2(x) in Ω, ∂u ∂η = ∂v ∂η = 0 on ∂Ω, (1.1) where Ω ⊂ R,N ≥ 1, is a bounded smooth domain, 1 < p < N, η is the unit exterior vector on ∂Ω , ∆p is the p-Laplacian operator ∆pu = div(|∇u|p−2∇u) ∗ Corresponding author. E-mail addresses: [email protected], [email protected] (F.J.S.A. Corrêa), [email protected] (R.G. Na...
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ژورنال
عنوان ژورنال: Asymptotic Analysis
سال: 2012
ISSN: 0921-7134
DOI: 10.3233/asy-2011-1086