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: Well-Posedness for the Motion of Physical Vacuum of Three-dimensional Compressible Euler Equations With or Without Self-Gravitation
Title: Well-Posedness for the Motion of Physical Vacuum of Three-dimensional Compressible Euler Equations With or Without Self-Gravitation
Speaker:Prof. Huihui Zeng, Tsinghua University
Time:3:40-4:40pm, May 16, 2013
Place:Room 510, Morningside Center
Abstract: This talk concerns the well-posedness theory of the motion of physical vacuum for the compresssible Euler equations with or without self-grivatation. First, a general uniqueness theorem of classical solutions is proved for the three dimensional general motion. Second, for the spherically symmetric motions, without imposing the compatibility condition of the first derivative being zero at the center of symmetry, a new local-in-time existence theory is established in a new functional space involving less derivatives than those constructed for three-dimensional motion by constructing suitable weight and cutoff functions featuring the behavior of solutions near both the center of the symmetry and the moving vacuum boundary.
附件/Attachment