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报告题目：On Two-Dimensional Compressible Magnetohydrodynamic Equations with Vacuum
报告摘要：In this talk, we consider the Cauchy problem of partial differential equations forviscous barotropic compressible magnetohydrodynamic flows in two or three spatial dimensions with vacuum as far field density. For two spatial dimensions, when the smooth initial data are of small total energy, we establish the global existence and uniqueness of strong solutions (which may be of possibly large oscillations). The key tool is some new a priori decay rates (in large time) for the pressure and the spatial gradients of both the velocity field and the magnetic field. Moreover, for three spatial dimensions case, some decay rates (in large time) are also obtained for the global strong solutions.
报告时间：2016年12月1日下午3：00-4:00
报告地点：教学二楼数学与统计学院2126
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报告人简介：施小丁，教授，北京化工大学，主要研究方向为流体力学中的偏微分方程。施教授的很多研究结果发表在"Comm. Math. Phys. "、"SIAM J. Math. Anal."、"Indiana Univ. Math. J."、"Osaka J. Math."等国际重要学术期刊。
发布时间：2016-11-30 点击量：150
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