Zobrazeno 1 - 10
of 81
pro vyhledávání: '"Zang, Aibin"'
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 $\Omega=\mathbb{T}^2\times\mathbb{R}$ with $\mathbb{T}^2=[0, 1]^2$. More precisely, eac
Externí odkaz:
http://arxiv.org/abs/2402.01406
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 $\alpha, \beta\in(\frac{1}{2}, 1]$. Namely, the velocity equations inv
Externí odkaz:
http://arxiv.org/abs/2308.07547
Autor:
You, Xiaoguang, Zang, Aibin
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 is a well-known non-Newtonian model, with two parameters: $\alpha$ repr
Externí odkaz:
http://arxiv.org/abs/2110.15663
Autor:
You, Xiaoguang, Zang, Aibin
In this article, we consider 2D second grade fluid equations in exterior domain with Dirichlet boundary conditions. For initial data $\boldsymbol{u}_0 \in \boldsymbol{H}^3(\Omega)$, the system is shown to be global well-posed. Furthermore, for arbitr
Externí odkaz:
http://arxiv.org/abs/2109.01314
Autor:
You, Xiaoguang, Zang, Aibin
After casting Euler-$\alpha$ equations into vorticity-stream function formula, we obtain some very useful estimates from the properties of the vorticity formula in exterior domain. Basing on these estimates, one can have got the global existence and
Externí odkaz:
http://arxiv.org/abs/2109.00915
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 dimensional steady compressible Euler equations. The vortex line attached to
Externí odkaz:
http://arxiv.org/abs/2008.06770
Autor:
Su, Wenhuo, Zang, Aibin
In the paper, the limit behavior of solutions to the second-grade fluid system with no-slip boundary conditions is studied as both $\nu$ and $\alpha$ tend to zero. More precisely, it is verified that the convergence from second-grade fluid system to
Externí odkaz:
http://arxiv.org/abs/1907.06035
Autor:
Chen, Mingtao, Zang, Aibin
In this paper, we investigate the Cauchy problem of the compressible non-resistive MHD on $\mathbb{R}^2$ with vacuum as far field density. We prove that the 2D Cauchy problem has a unique local strong solution provided the initial density and magneti
Externí odkaz:
http://arxiv.org/abs/1707.05278
Autor:
Chen, Mingtao, Zang, Aibin
In this paper, we investigate the Cauchy problem of the nonhomogeneous incompressible non-resistive MHD on $\mathbb{R}^2$ with vacuum as far field density and prove that the 2D Cauchy problem has a unique local strong solution provided that the initi
Externí odkaz:
http://arxiv.org/abs/1707.05279
Autor:
Li, Yin, Zang, Aibin
Publikováno v:
Mathematical Methods in the Applied Sciences; Oct2024, Vol. 47 Issue 15, p11976-11992, 17p
