12 citations · 27 across the 8 of their papers we have counts for
8 papers
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…
Non-homogeneous boundary value problems for coupled KdV-KdV systems posed on the half line
Shenghao Li, Min Chen, Xin Yang +1
In this article, we study an initial-boundary-value problem of a coupled KdV-KdV system on the half line with non-homogeneous boundary conditions: \begin{equation*…
Lower Regularity Solutions of the Non-homogeneous Boundary-Value Problem for a Higher Order Boussinesq Equation in a Quarter Plane
Shenghao Li, Min Chen, Xin Yang +1
We continue to study the initial-boundary-value problem of the sixth order Boussinesq equation in a quarter plane with non-homogeneous boundary conditions: \begin{equation*} \begin…
Well-posedness and Critical Index Set of the Cauchy Problem for the Coupled KdV-KdV Systems on
Xin Yang, Bing-Yu Zhang
Studied in this paper is the well-posedness of the Cauchy problem for the coupled KdV-KdV systems \[ u_t+a_1u_{xxx} = c_{11}uu_x+c_{12}vv_x+d_{11}u_{x}v+d_{12}uv_{x}, \quad u(x,0)=…
Local Well-posedness of the Coupled KdV-KdV Systems on
Xin Yang, Bing-Yu Zhang
Inspired by the recent successful completion of the study of the well-posedness theory for the Cauchy problem of the Korteweg-de Vries (KdV) equation \[ u_t +uu_x +u_{xxx}=0, \quad…