In this talk, we discuss theincompressible and non-resistive limit for the initial boundary value problemof isentropic compressible resistive magnetohydrodynamic equations withill-prepared initial data in three-dimensional bounded domains. We establishthe higher-order uniform estimates with respect to both the Mach number and theresistivity coefficient in the framework of new type of weighted Sobolevspaces. Thenwe obtain the strong convergence of the magnetic field and thedivergence-free component of the velocityfield, as both the Mach number and the resistivity coefficient tend tozero.

欧耀彬，中国人民大学数学学院教授，研究方向为偏微分方程与流体力学，特别是关于可压缩流体力学偏微分方程组的适定性、正则性和奇异极限等领域，在J. Math, Pure. Appl.，SIAM J. Math. Anal.，ANIHP. - Anal. non lineaire 和J. Diff. Equ.等国际知名期刊发表论文30多篇。曾入选教育部“新世纪优秀人才支持计划”学者，中国人民大学“杰出学者”青年学者A岗和“吴玉章青年学者”，以及电子科技大学“百人计划”学者。作为负责人获得国家自然科学基金面上项目（3项）和青年基金项目，中国博士后基金特别资助项目和面上项目等资助，并参与国家自然科学基金重点项目和国际合作交流项目。