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math.AP2026
On the axisymmetric Navier-Stokes flow passing a cone with the total-slip boundary condition
Zijin Li, Xin Yang, Qi S. Zhang
(A) It is known that among the currently unresolved cases of the axially symmetric Navier-Stokes equations (ASNS), the most relatively tractable one is where the fluid passes the e…
math.AP2026
Mean Effects on Critical Well-Posedness for Majda-Biello Systems on the Torus
Ke Wang, Xin Yang
This paper studies how the mean of the initial data affects the critical indices concerning local well-posedness for the following Majda-Biello systems: \[ \left\{\begin{alig…