컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0590 |
|---|---|
| 분류(Section) | Invited Talk |
| 분과(Session) | Partial Differential Equations (SS-11) |
| 영문제목 (Title(Eng.)) |
Singular change of variables between post- and pre-collisional velocities in the Boltzmann equation |
| 저자(Author(s)) |
Yoshinori Morimoto1 Kyoto University1 |
| 초록본문(Abstract) | The regular change of variables between post- and pre-collisional velocities played an important role in the cerebrated cancellation lemma given by Alexandre-Desvillettes-Villani-Wennberg for the non cutoff Boltzmann collision integral operator. The singular change of variables between post- and pre-collisional velocities was also introduced and used in a series of joint works of Alexandre-Morimoto-Ukai-Xu-Yang to show the uniqueness and the existence of solutions in the theory of the non-cutoff Boltzmann equation. In this talk we firstly review those results, and explain a further utilization in the recent collaboration with Tong Yang. |
| 분류기호 (MSC number(s)) |
35B65, 82C40 |
| 키워드(Keyword(s)) | Boltzmann equation, non cutoff, singular change of variables |
| 강연 형태 (Language of Session (Talk)) |
English |