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arXiv:1612.01068 [math.AP]AbstractReferencesReviewsResources

On the inviscid limit of the incompressible Navier-Stokes equations

Zihua Guo, Jinlu Li, Zhaoyang Yin

Published 2016-12-04Version 1

We prove the inviscid limit of the incompressible Navier-Stokes equation in the same topology of Besov space as the initial data. The proof is based on proving the continuous dependence of the Navier-Stokes equation uniformly with respect to the viscocity. To show the latter, we rely on some Bona-Smith type argument in the $L^p$ setting.

Comments: 8 pages
Categories: math.AP
Subjects: 35Q30, 76B03
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