27 citations · 50 across the 17 of their papers we have counts for
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math.AP2018★ 16 cited
Global solutions of -D Navier-Stokes system with small unidirectional derivative
Yanlin Liu, Ping Zhang
Given initial data $u_0=(u_0^\h,u_0^3)\in H^{-\d,0}\cap H^{\f12}(\R^3)$ with both~$\uh_0$ and~$\nabla_{\rm h}\uh_0$ belonging to ~$L^2(\R^3)\cap L^\infty(\R_\v;L^2(\R^2_\h))$ and $…
math.AP2018
Uniqueness of axisymmetric viscous flows originating from positive linear combinations of circular vortex filaments
Guillaume Lévy, Yanlin Liu
Following the recent papers [9] and [10] by T. Gallay and V. uSverák, in the line of work initiated by H. Feng and V. uSverák in their paper [3], we prove the uniqueness of a solut…