| 구분 |
대학원생 세미나 |
| 분류 |
대학원생 세미나 |
| 제목 |
Diffusive Limits of Persistent Random Walk and Kinetic Model in Heterogeneous and Anisotropic Media |
| Abstract |
Diffusion is a macroscopic phenomenon arising from the random movement of particles at the microscopic level. Fick’s law predicts uniform spreading of particles over time, while fractionation is often observed in heterogeneous environments, as in the Soret effect and Darken’s experiment. In this talk, we show that such heterogeneous diffusion can be described by a two-coefficient diffusion equation derived from particle dynamics. In particular, for persistent random walks, fractionation occurs only when both heterogeneity and anisotropy are present. We formally derive the limiting diffusion equation and present a methodology to rigorously establish convergence from a persistent discrete kinetic equation to the macroscopic diffusion equation. |
| 일시 |
2026-04-09
(Thu) / 11:50 ~ 12:40 |
| 장소 |
자연과학동 수리과학과(E6-1), 1410호 Edu 4.0 강의실 |
| 강연언어 |
한국어 |
| 강연자성명 |
김민유 |
| 강연자소속 |
Department of Mathematical Sciences, KAIST |
| 강연자홈페이지 |
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| 기타정보 |
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| 초청인 |
김범호 |
| URL |
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| 담당자 |
김범호 |
| 연락처 |
bhkim@kaist.ac.kr |
