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math.AP2019★ 2 cited
Liouville theorem of axially symmetric Navier-Stokes equations with growing velocity at infinity
Xinghong Pan, Zijin Li
In the paper \cite{KNSS:1}, the authors make the following conjecture: {\it any bounded ancient mild solution of the 3D axially symmetric Navier-Stokes equations is constant.} And…
math.AP2019★ 7 cited
On the Vanishing of some D-solutions to the Stationary Magnetohydrodynamics System
Zijin Li, Xinghong Pan
In this paper, we study the stationary magnetohydrodynamics system in . We prove trivialness of D-solutions (the velocity field and the magnetic f…