报告题目：Globalstrong solutions to the Cauchy problem of 1D compressible MHD equations with noresistivity

报告人：李自来

时间：2019年5月17日上午10点

地点：汇贤楼122教室

主办单位：数学科学学院

报告摘要：

Weconsider the Cauchy problem to the 1D non-resistive compressible magnetohydrodynamics(MHD) equations.  We established the global existence and uniqueness ofstrong solutions for large initial data and vacuum when the viscositycoefficient is assumed to be constant or density-dependent. The analysis isbased on the full use of effective viscous flux and theCaffarelli-Kohn-Nirenberg weighted inequality to get the higher-order estimatesof the solutions. 

个人简介：

Lizilai,lecturer, Henan University of Technology. The research area involves nonlinearpartial differential equations, fluid mechanics equations, etc.. The researchresults are published in internationally renowned journals such as JDE, ZAMP,DCDS, and Chinese science.