中科院数学与系统科学研究院
华罗庚数学科学中心
学术报告
报告人：Prof. Jiahong Wu （Oklahoma State University）
题 目：The 2D incompressible MHD equations with partial magnetic diffusion
时 间：2017.07.12（星期三），15:00-17:00
地 点：数学院南楼N913室
摘 要：This talk presents two recent results on the 2D incompressible MHD equations with partial magnetic diffusion. The first result asserts the global regularity of the 2D system when the velocity equation has the dissipation $(-\Delta)^\alpha$ with $\alpha>0$, and the magnetic equation has only partial magnetic diffusion. The second result establishes the global regularity of the 2D system when the velocity equation is inviscid and the magnetic equation has only partial hyperdissipation. These resultsimprove existing work by further reducing the dissipation of the system.
