Atomic decomposition for the vorticity of a viscous flow in the whole space
نویسنده
چکیده
We show that the vorticity of a viscous flow in R 3 admits an atomic decomposition of the form ω(x, t) = ∞ k=1 ω k (x − x k , t), with localized and oscillating building blocks ω k , if such a property is satisfied at the beginning of the evolution. We also study the long time behavior of an isolated coherent structure and the special behavior of flows with highly oscillating vorticities.
منابع مشابه
On an atomic decomposition in Banach spaces
An atomic decomposition is considered in Banach space. A method for constructing an atomic decomposition of Banach space, starting with atomic decomposition of subspaces is presented. Some relations between them are established. The proposed method is used in the study of the frame properties of systems of eigenfunctions and associated functions of discontinuous differential operators.
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