Na Zhao
Published 2018-05-10Version 1
We study axially symmetric $D$-solutions of three dimensional steady Navier-Stokes equations. We prove that if the velocity $u$ decays like $|x'|^{-(\frac{2}{3})^+}$ uniformly for $z$, or the vorticity $\omega$ decays like $|x'|^{-(\frac{5}{3})^+}$ uniformly for $z$, then $u$ vanishes. Here $|x'|$ denotes the distance to the axis.
Liouville type theorems for fractional and higher-order fractional Hénon-Lane-Emden system
Liouville type theorem for double Beltrami solutions of the Hall-MHD system in $\Bbb R^3$
Liouville type theorem for a class quasilinear $p$-Laplace type equation on the sphere
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