6月3日（西南科技大学办公楼附楼202会议室） |
8:30-8:50 | 开幕式（主持人：杜力力（四川大学），致欢迎辞：周自刚（西南科技大学）， 致辞：吴家宏（俄克拉荷马州立大学）） |
主持人 | 章志飞（北京大学） |
8:50-9:25 | 牛冬娟（首都师范大学） Global well-posedness of 3D Navier-Stokes equations with variable viscosity In this talk, we investigate the global well-posedness in the critical spaces of 3D inhomogenous Navier-Stokes equations, which has variable kinematic viscosity under the smallness assumptions. In addition, the decay estimate of the velocity fields is also obtained. It is a joint work with Lu Wang. |
9:25-10:00 | 尚海锋（东北大学秦皇岛分校） Large time behavior to the 3D anisotropic MHD equations In this talk, I will introduce some recent results on the global well-posedness and large time behavior to the 3D anisotropic MHD equations. We establish the optimal decay estimates on solutions of the 3D anisotropic MHD equations with only horizontal dissipation. We prove the global existence and stability of solutions to the aforementioned MHD system emanating from any initial data with small H1-norm. |
10:00-10:15 | 茶歇 |
主持人 | 许孝精（北京师范大学） |
10:15-10:50 | 陈明涛（山东大学） Global weak solutions of 3D compressible micropolar fluids with discontinuous initial data and vacuum In this paper, we study the global existence and large time behaviour of classical solutions to the compressible micropolar fluids in a three-dimensional exterior domain. Here, it is assumed that the initial total energy is suitably small, moreover, the initial density is allowed to have large oscillations and vacuum. |
10:50-11:25 | 叶专（江苏师范大学） Global regularity of 2D MHD equations with almost Laplacian magnetic diffusion Whether or not the classical solutions of the two-dimensional (2D) incompressible magnetohydrodynamics (MHD) equations with only Laplacian magnetic diffusion are globally well-posed is a difficult problem and remains completely open. In this talk, we establish the global regularity of smooth solutions to the 2D incompressible MHD equations with almost Laplacian magnetic diffusion in the whole space. |
主持人 | 黎野平（南通大学） |
11:25-12:00 | 邱华（华南农业大学） Local existence results for certain incomppressible fluid models with partial dissipation In this talk, we will present some recent results on the local existence results for certain incomppressible fluid models with partial dissipation, including the magneto-micropolar equations and the magnetohydrodynamics system. |
下午自由讨论 |
6月4日 （西南科技大学办公楼附楼202会议室） |
主持人 | 李进开（华南师范大学） |
8:45-9:20 | 赵杰风（河南理工大学） Well-posedness problems of 2D resistive MHD equations It is well-known that the global well-posedness on the 2D resistive MHD equations without kinematic dissipation remains an outstanding open problem. And the vorticity plays a very important role in studying this problem. In this talk, we will construct a sequence of initial data near a special steady state for 2d resistive MHD equations to show that the $L^\infty$-norm of vorticity is mildly ill-posed. In addition, we will present some other related results for 2d resistive MHD equations. |
9:20-9:55 | 蒋艳群（西南科技大学） 全Mach数下Navier-Stokes方程组的高阶半隐式WCNS格式 采用显式时间离散方法计算低Mach数流动或低Reynolds数流动问题时，计算效率非常低，且数值耗散大，很难达到设计精度。结合Euler方程组和Navier-Stokes方程组的特性（压力项和粘性项具有刚性），为了提高数值计算的准确性和计算效率，将方程组通量部分分裂成刚性和非刚性两个部分，并设计了高阶精度半隐式WCNS格式进行求解。最后，通过一系列数值试验验证所提出数值方法的精度和计算效率。 |
9:55-10:15 | 茶歇 |
主持人 | 孙永忠（南京大学） |
10:15-10:50 | 赖素华（江西师范大学） Stabilizing effect of magnetic field on the magnetohydrodynamic flow The problems of the stability (near the trivial solution) of the 2D/3D Navier-Stokes equations with only vertical dissipation and 2D incompressible Euler equation with only partial damping remain unsolved. The main purpose of this talk is to give an affirmative answer to this question in the case when the fluid is coupled with the magnetic field through the MHD system. The results reveal the mechanism of how magnetic field generates enhanced dissipation and helps stabilize the fluid. In particular, the results confirm the stabilizing effects of the magnetic field on the electrically conducting fluids, a phenomenon that has been observed in physical experiments and numerical simulations. |
10:50-11:25 | 朱宁（山东大学） Global well-posedness of 3D homogeneous and inhomogeneous Navier-Stokes system with some small data In this talk, I will first review the important classical results for the 3D homogeneous and inhomogeneous Navier-Stokes system. Then I will present our recent result with establishes the global well-posedness of 3D homogeneous and inhomogeneous Navier-Stokes system providing only one unidirectional derivative to be small. This is a joint work with Marius Paicu. |
主持人 | 向昭银（电子科技大学） |
11:25-12:00 | 戴祎琛（集美大学） The linear stability of the two-dimensional plasma-vacuum interface problem We consider a free boundary problem for the two-dimensional plasma-vacuum interface ideal magnetohydrodynamic (MHD) flows. We establish a linear stability/instability criterion of equilibrium state for the Rayleigh-Taylor (RT) problem and the linear stability for the ideal MHD equations. We give the critical magnetic number $H_c$ by a modified variational method and prove that the linearized system is stable when the horizontal impressed magnetic field $\bar H=(\bar H_1,0)$ satisfies $|\bar H_1|>H_c$, while unstable for $|\bar H_1| |
