Wavelets with Differential Relation

Divergence-free wavelets are successfully applied to numerical solutions of Navier-Stokes equation and to analysis of incompressible flows. They closely depend on a pair of one-dimensional wavelets with some differential relations. In this paper, we point out some restrictions of those wavelets and...

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Veröffentlicht in:	Acta mathematica Sinica. English series 2011-05, Vol.27 (5), p.1011-1022
Hauptverfasser:	Chuang, Zhi-Tao, Liu, Youming
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied mathematics Constrictions Differential equations Fluid flow Fourier transforms Incompressible flow Interpolation Joints Mathematical analysis Mathematical models Mathematics Mathematics and Statistics Navier-Stokes equations Studies Symmetry Wavelet Wavelet transforms 不可压缩流动小波尺度函数数值解斯托克斯方程
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Beschreibung
Zusammenfassung:	Divergence-free wavelets are successfully applied to numerical solutions of Navier-Stokes equation and to analysis of incompressible flows. They closely depend on a pair of one-dimensional wavelets with some differential relations. In this paper, we point out some restrictions of those wavelets and study scaling functions with the differential relation; Wavelets and their duals are discussed; In addition to the differential relation, we are particularly interested in a class of examples with the interpolatory property; It turns out there is a connection between our examples and Micchelli＇s work.
ISSN:	1439-8516 1439-7617
DOI:	10.1007/s10114-010-8188-2