Rotationally corrected scaling invariant solutions to the Navier-Stokes equations

2016/10/18 by Bradshaw, Zachary, Tsai, Tai-Peng
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1610.05680

Abstract

We introduce new classes of solutions to the three dimensional Navier-Stokes equations in the whole and half spaces that add rotational correction to self-similar and discretely self-similar solutions. We construct forward solutions in these new classes for arbitrarily large initial data in L³_w on the whole and half spaces. We also comment on the backward case.

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