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DATE | 2023-03-08 16:10-17:00 |

PLACE | 數學系館 3F會議室 |

SPEAKER | Professor Kenji Nakanish（Kyoto University and RIMS） |

TITLE | Optimal Wellposednesss for the Hartree Equation in the Schatten Class |

ABSTRACT |
Singularity formation and Cauchy Problem for Some Nonlinear PDEs
Organizers: 方永富，史習偉，郭鴻文，關汝琳 Goal: We arrange a series of lectures at introductory level and hope to attract students to appreciate some merits of the PDE topic
This talk is based on joint work with Sonae Hadama (Kyoto). We consider a mean-field approximation model to describe the dynamics of many fermion particles, which is a large system of Schrodinger equations with the Hartree interactions among orthogonal functions. Lewin and Sabin ('14-15) proved stability of some stationary solutions with translation invariance, which have physical relevance such as for ideal Fermi gas. |