97 citations · 204 across the 14 of their papers we have counts for
16 papers
Stability Analysis of Bounded Solutions to 2-D Incompressible Navier-Stokes Equations in L^2_uloc Spaces
Haokun Tai, Xiaoxin Zheng
This paper examines the stability analysis of two-dimensional incompressible fluids in spaces. Extending the classical stability framework for Euler equations in Yudov…
Forward self-similar solutions of the Navier-Stokes equations in R^n
Baishun Lai, Changxing Miao, Xiaoxin Zheng
We investigate forward self-similar solutions to the incompressible Navier--Stokes equations with homogeneous initial data , , focusing on the…
Global regularity and decay behavior for Leray equations with critical-dissipation and Its Application to Self-similar Solutions
Changxing Miao, Xiaoxin Zheng
In this paper, we show the global regularity and the optimal decay of weak solutions to the generalized Leray problem with critical dissipation. Our method is based on the maximal…
Global-in-time Boundedness of solution for Cauchy problem to the Parabolic-Parabolic Keller-Segel system with logistic growth
Yao Nie, Xiaoxin Zheng
We study global-in-time well-posedness and the behaviour and of the solution to Cauchy problem in the classical Keller-Segel system with logistic term \begin{equation*} \left. \ali…
On the semigroup generated by the Oseen operator around a steady flow exterior to a rotating obstacle
Jingyue Li, Changxing Miao, Xiaoxin Zheng
We consider the motion of an incompressible viscous fluid filling the whole space exterior to a moving with rotation and translation obstacle. We show that the Stokes operator arou…
Global Regularity of weak solutions to the generalized Leray equations and its applications
Baishun Lai, Changxing Miao, Xioaxin Zheng
We investigate a regularity for weak solutions of the following generalized Leray equations \begin{equation*} (-Δ)^αV- \frac{2α-1}{2α}V+V\cdot\nabla V-\frac{1}{2α}x\cdot \nabla V+\…
Minimal blow-up initial data in critical Fourier-Herz spaces for potential Navier-Stokes singularities
Jingyue Li, Changxing Miao, Xiaoxin Zheng
In this paper, we mainly prove the existence of the minimal blow-up initial data in critical Fourier-Herz space $F\dot{B}^{2-{\frac3p}}_{p,q}(\RR^3)$ with and $1\le…
Between homogeneous and inhomogeneous Navier-Stokes systems: the issue of stability
Piotr B. Mucha, Liutang Xue, Xiaoxin Zheng
We construct large velocity vector solutions to the three dimensional inhomogeneous Navier-Stokes system. The result is proved via the stability of two dimensional solutions with c…
Forward self-similar solutions of the fractional Navier-Stokes Equations
Baishun Lai, Changxing Miao, Xiaoxin Zheng
We study forward self-similar solutions to the 3-D Navier-Stokes equations with the fractional diffusion First, we construct a global-time forward self-similar solutions…
Remarks on well-posedness of the generalized surface quasi-geostrophic equation
Huan Yu, Xiaoxin Zheng, Quansen Jiu
In this paper, we are concerned with the Cauchy problem of the generalized surface quasi-geostrophic (SQG) equation in which the velocity field is expressed as , where $ω…
Global well-posedness for the two-dimensional Maxwell-Navier-Stokes equations
Changxing Miao, Xiaoxin Zheng
In this paper, we investigate Cauchy problem of the two-dimensional full Maxwell-Navier-Stokes system, and prove the global-in-time existence and uniqueness of solution in the bord…
Global well-posedness for axisymmetric MHD system with only vertical viscosity
Quansen Jiu, Huan Yu, Xiaoxin Zheng
In this paper, we are concerned with the global well-posedness of a tri-dimensional MHD system with only vertical viscosity in velocity equation for the large axisymmetric initial…
Time-dependent singularities in the Navier-Stokes system
Grzegorz Karch, Xiaoxin Zheng
We show that, for a given Hölder continuous curve in , there exists a solution to the Navier-Stokes system for an incompressible fluid…
The two-dimensional Euler equations in Yudovich type space and -type space
Qionglei Chen, Changxing Miao, Xiaoxin Zheng
We construct global-in-time, unique solutions of the two-dimensional Euler equations in a Yudovich type space and a -type space. First, we show the regularity of solutions…
Global well-posedness for axisymmetric Boussinesq system with horizontal viscosity
Changxing Miao, Xiaoxin Zheng
In this paper, we are concerned with the tridimensional anisotropic Boussinesq equations which can be described by {equation*} {{array}{ll} (\partial_{t}+u\cdot\nabla)u-κΔ_{h} u+\n…
On the global well-posedness for the Boussinesq system with horizontal dissipation
Changxing Miao, Xiaoxin Zheng
In this paper, we investigate the Cauchy problem for the tridimensional Boussinesq equations with horizontal dissipation. Under the assumption that the initial data is an axisymmet…