51 citations · 133 across the 19 of their papers we have counts for
19 papers
Global strong solutions to a one-dimensional full non-Newtonian fluid with far field vacuum
Li Fang, Yu Wang, Aibin Zang
In this paper, the Cauchy problem for a one-dimensional heat conducting compressible non-Newtonian fluid is considered. The constitute equation of the non-Newtonian fluid is determ…
Blow-Up Theory and Liouville-Type Theorem for Solutions of a Class of Generalized Camassa-Holm-Kadomtsev-Petviashvili Equations
Xueli Ke, Jiamin Wang, Aibin Zang
We investigate the blow-up behavior and Liouville-type theorems of solutions to a class of generalized Camassa-Holm-Kadomtsev-Petviashvili (CH-KP) equations with a generally smooth…
On decay of solutions to the anisotropic Boussinesq equations near the hydrostatic balance in half space
Wangrong Yang, Aibin Zang
The system of the Boussinesq equations is one of the most important models for geophysical fluids. This paper focuses on the initial-boundary problem of the 3D incompressible aniso…
On the stability and exponential decay of the 3D MHD system with mixed partial dissipation near a equilibrium state
Xuemin Deng, Yuelong Xiao, Aibin Zang
A main result of this paper establishes the global stability of the 3D MHD equations with mixed partial dissipation near a background magnetic field in the domain $Ω=\mathbb{T}^2\t…
Stability and inviscid limit of the 3D anisotropic MHD system near a background magnetic field with mixed fractional partial dissipation
Xuemin Deng, Yuelong Xiao, Aibin Zang
A main result of this paper establishes the global stability of the three-dimensional MHD equations near a background magnetic field with mixed fractional partial dissipation with…
Singular limit of 2D second grade fluid past an obstacle
Xiaoguang You, Aibin Zang
In this paper, we consider the 2D second grade fluid past an obstacle satisfying the standard non-slip boundary condition at the surface of the obstacle. Second grade fluid model i…
Global Well-Posedness of 2D Euler- Equations in Exterior Domain
Xiaoguang You, Aibin Zang
After casting Euler- equations into vorticity-stream function formula, we obtain some very useful estimates from the properties of the vorticity formula in exterior domain. Basi…
Global Well-Posedness of 2D Second Grade Fluid Equations in Exterior Domain
Xiaoguang You, Aibin Zang
In this article, we consider 2D second grade fluid equations in exterior domain with Dirichlet boundary conditions. For initial data , the…
Subsonic flows past a profile with a vortex line at the trailing edge
Jun Chen, Zhouping Xin, Aibin Zang
We established the existence, uniqueness and stability of subsonic flows past an airfoil with a vortex line at the trailing edge. Such a flow pattern is governed by the two dimensi…
The Limit Behavior of the Second Grade Fluid
Wenhuo Su, Aibin Zang
In the paper, the limit behavior of solutions to the second-grade fluid system with no-slip boundary conditions is studied as both and tend to zero. More precisely, it is v…
Existence theorems for the Cauchy problem of 2D nonhomogeneous incompressible non-resistive MHD equations with vacuum
Mingtao Chen, Aibin Zang
In this paper, we investigate the Cauchy problem of the nonhomogeneous incompressible non-resistive MHD on with vacuum as far field density and prove that the 2D Cau…
On classical solutions to the Cauchy problem of the 2D compressible non-resistive MHD equations with vacuum
Mingtao Chen, Aibin Zang
In this paper, we investigate the Cauchy problem of the compressible non-resistive MHD on with vacuum as far field density. We prove that the 2D Cauchy problem has a…
Existence of weak solutions for non-stationary flows of fluids with shear thinning dependent viscosities under slip boundary conditions in half space
Aibin Zang
The author treats the system of motion for an incompressible non-Newtonian fluids of the stress tensor described by potential function subject to slip boundary conditions in $\…
The uniform time of existence of the smooth solution for 3D Euler- equations with Dirichlet boundary conditions
Aibin Zang
After reformulate the incompressible Euler- equations in 3D smooth domain with Drichlet data, we obtain the unique classical solutions to Euler- equations exist in uniform ti…
Approximation of 2D Euler Equations by the Second-Grade Fluid Equations with Dirichlet Boundary Conditions
Milton C. Lopes Filho, Helena J. Nussenzveig Lopes, Edriss S. Titi +1
The second-grade fluid equations are a model for viscoelastic fluids, with two parameters: , corresponding to the elastic response, and , corresponding to viscosity. Fo…
Convergence of the 2D Euler- to Euler equations in the Dirichlet case: indifference to boundary layers
Milton C. Lopes Filho, Helena J. Nussenzveig Lopes, Edriss S. Titi +1
In this article we consider the Euler- system as a regularization of the incompressible Euler equations in a smooth, two-dimensional, bounded domain. For the limiting Euler syst…
Existence, regularity and uniqueness of weak solutions for a class of incompressible generalized Navier-Stokes system with slip boundary conditions in
Aibin Zang
We obtain the existence, regularity, uniqueness of the non-stationary problems of a class of non-Newtonian fluid is a power law fluid with in the half-space under slip boun…
Smooth solutions for motion of a rigid body of general form in an incompressible perfect fluid
Yun Wang, Aibin Zang
In this paper, we consider the interactions between a rigid body of general form and the incompressible perfect fluid surrounding it. Local well-posedness in the space $C([0, T); H…
Vanishing Viscous Limits for 3D Navier-Stokes Equations with A Navier-Slip Boundary Condition
Lizhen Wang, Zhouping Xin, Aibin Zang
In this paper, we investigate the vanishing viscosity limit for solutions to the Navier-Stokes equations with a Navier slip boundary condition on general compact and smooth domains…