郝成春的个人主页 | Chengchun HAO's Homepage
研究员、博士生导师,中国科学院数学与系统科学研究院 数学研究所 | Professor, Institute of Mathematics, AMSS, CAS
中科院数学与系统科学研究院
数学研究所
偏微分方程研讨班
题目/Title: On the free boundary problem of porous media equations
报告人:麦拉苏 副教授 (内蒙古大学)
时间:2020年11月18日周三 下午4:00-5:00
地点:腾讯会议,会议号316 317 660
摘要:In this talk, we will consider the of porous media equations when the initial data are continuous and compactly supported. The major feature is the parabolicity degenerate at the moving boundary. By introducing the proper weighted Sobolev space, which captures the degenerative at the moving boundary, the well-posedness of the local solution is established at first. Then, the global solution closed to the Barenblatt solution is constructed, and converges to the Barenblatt solution as time goes to infinity. Our results particularly give a positive answer of the open problem proposed by Lee and V?zquez on convexity.
附件/Attachment