4 papers · 1 filter
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…
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…
Effect of lower order terms on the well-posedness of Majda-Biello systems
Xin Yang, Shenghao Li, Bing-Yu Zhang
This paper investigates a noteworthy phenomenon within the framework of Majda-Biello systems, wherein the inclusion of lower-order terms can enhance the well-posedness of the syste…
A lower index bilinear estimate for the quadratic Schrödinger equation and application for its half line problem
Shenghao Li, Xin Yang
We prove the local well-posedness of the initial boundary value problem for the nonlinear quadratic Schrödinger equation under low initial-boundary regularity assumption via the bo…