Divergence-Free Multiwavelets on the Half Plane

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 R+ such that the reconstruction wavelets are divergence-free and have vanishing normal components on the boundary of R+. Such wavelets are suitable to study the Navier–Stokes equations on a half plane when imposing a Navier boundary condition.

DOI: 10.3390/axioms2020100

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Cite this paper

@article{Lakey2013DivergenceFreeMO, title={Divergence-Free Multiwavelets on the Half Plane}, author={Joseph D. Lakey and Phan Nguyen}, journal={Axioms}, year={2013}, volume={2}, pages={100-121} }