Event
01_1
| 제출번호(No.) | 0041 |
|---|---|
| 분류(Section) | Special Session |
| 분과(Session) | CMAC (SS-01) |
| 영문제목 (Title(Eng.)) |
Asymptotic stability of the relativistic Boltzmann equation for soft potentials without angular cut-off |
| 저자(Author(s)) |
Jin Woo Jang1, Robert M. Strain2 IBS - Center for Geometry and Physics1, University of Pennsylvania2 |
| 초록본문(Abstract) | We establish here global-in-time well-posedness and stability results for solutions nearby the relativistic Maxwellian to the special relativistic Boltzmann equation without angular cutoff. We work in the case of a spatially periodic box. We assume the generic soft-potential conditions on the collision kernel in that were derived by Dudy\'nski and Ekiel-Je$\dot{\text{z}}$ewska (Commun Math Phys \textbf{115}(4):607--629, 1985). In this physical situation, the angular function in the collision kernel is not locally integrable, and the collision operator behaves like a non-isotropic fractional diffusion operator. |
| 분류기호 (MSC number(s)) |
35Q20, 35R11, 76P05, 83A05, 82C40, 35B65, 26A33. |
| 키워드(Keyword(s)) | Boltzmann equation, special relativity, non angular cut-off, soft interaction, collisional kinetic theory |
| 강연 형태 (Language of Session (Talk)) |
English |