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Axioms 2013, 2(2), 100-121; doi:10.3390/axioms2020100

Divergence-Free Multiwavelets on the Half Plane

1
Department of Mathematical Sciences, New Mexico State University, Las Cruces, NM, USA
2
Hanoi Institute of Mathematics, 18 Hoang Quoc Viet, Hanoi, Vietnam
*
Author to whom correspondence should be addressed.
Received: 24 December 2012 / Revised: 16 March 2013 / Accepted: 18 March 2013 / Published: 11 April 2013
(This article belongs to the Special Issue Wavelets and Applications)
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Abstract

We use the biorthogonal multiwavelets related by differentiation constructed in previous work to construct compactly supported biorthogonal multiwavelet bases for the space of vector fields on the upper half plane R2 + such that the reconstruction wavelets are divergence-free and have vanishing normal components on the boundary of R2 +. Such wavelets are suitable to study the Navier–Stokes equations on a half plane when imposing a Navier boundary condition.
Keywords: multiwavelets; divergence-free wavelets; fractal interpolation function multiwavelets; divergence-free wavelets; fractal interpolation function
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Lakey, J.; Nguyen, P. Divergence-Free Multiwavelets on the Half Plane. Axioms 2013, 2, 100-121.

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