报告人：牛冬娟副教授

        首都师范大学

报告题目：The 2D magnetohydrodynamic equations with magnet diffusion

报告时间：2016年06月11日下午17:15

报告地点：海韵实验楼105

学院联系人:王焰金教授

报告摘要：This talk examines the initial-value problem for the two-dimensional magnetohydrodynamic equation with only magnetic diffusion (without velocity dissipation). There establishes two main results. The first result features a regularity criterion in terms of the magnetic field. This criterion comes naturally from our approach to obtain a global bound for the vorticity. Due to the lack of velocity dissipation, it is difficult to conclude the boundedness of the vorticity from the vorticity equation itself. Instead we derive and involve a new equation for the combined quantity of the vorticity and a singular integral operator on the tensor product of the magnetic field. This criterion may be verifiable. Our second main result is a weaker version of the small data global existence result, which is shown by the bootstrap argument.

报告人简介：牛冬娟，博士，现为首都师范大学副教授。2000年、2003年于首都师范大学获学士、硕士学位，2006年于香港中文大学获博士学位；2006年-2008年中国科学院数学所博士后。曾访问巴西State University of Campinas、美国 University of Minnesota等。

牛冬娟博士的研究方向包括非线性偏微分方程、流体力学的数学理论、边界层及地转流体等。其研究成果主要发表SIAM J. Math. Anal.、Indiana Univ. Math. J.、Nonlinearity、J. Differential Equations等。

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