报告时间：2025年12月01日（星期一） 9:00-10:00
报告地点：科教楼B座1812室
报 告 人：刘海蓉 教授
工作单位：南京理工大学
举办单位：数学学院
报告简介：
In this talk we will show the existence and uniqueness of local strong solutions to the three-dimensional compressible magnetohydrodynamic (MHD) equations with density-dependent viscosities in an exterior domain. We focus on the case where the viscosity coefficients are proportional to the fluid density, and the far-field density approaches vacuum. By introducing a reformulation of the problem using new variables to handle the degeneracy near vacuum, we establish the local well-posedness of strong solutions for arbitrarily large initial data, even in the presence of far-field vacuu.
报告人简介：
刘海蓉，南京理工大学数学与统计学院教授、博士生导师。主要从事几何和物理中偏微分方程理论及其应用研究,在Journal of Functional Analysis, J. London Math. Soc., Journal of Differential Equations, Nonlinearity，Science China Math.等数学杂志发表论文20余篇，主持国家自然科学基金面上项目、天元专项等项目,参与国家自然科学基金重点项目。
