Representation of divergence-free vector fields
نویسندگان
چکیده
منابع مشابه
Extension and Representation of Divergence-free Vector Fields on Bounded Domains
(1.1) gj(x) := x− yj |x− yj |n , x ∈ Rn \ {yj}. Let Hs,p denote the usual scale of Lp-Sobolev spaces, and denote by div and Div the divergence of 1-tensors (i.e., vector fields) and 2-tensors, respectively. Given a divergence-free vector field u on Ω, possessing a certain regularity, e.g., u ∈ Hs,p(Ω), we want to investigate two closely related problems. One is to extend u to a divergence-free ...
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ژورنال
عنوان ژورنال: Quarterly of Applied Mathematics
سال: 2011
ISSN: 0033-569X,1552-4485
DOI: 10.1090/s0033-569x-2011-01215-2