컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0191 |
|---|---|
| 분류(Section) | Special Session |
| 분과(Session) | (SS-08) Recent Trend in Fluid Equations (SS-08) |
| 발표시간(Time) | 20th-C-11:00 -- 11:20 |
| 영문제목 (Title(Eng.)) |
Regularity aspects of drift-diffusion equations and their applications |
| 저자(Author(s)) |
Pilgyu Jung1, Kwan Woo2 Sungkyunkwan University1, UNIST2 |
| 초록본문(Abstract) | We consider elliptic and parabolic equations with (critical) drifts, commonly referred to as drift-diffusion equations: $$ \partial_t u - \Delta u + b \cdot Du = f. $$ In particular, we focus on the case where the drift term $b$ belongs to critical spaces, for example, $b \in L^q_t(L^p_x)$ with $d/p + 2/q = 1$. We discuss regularity of the solutions to drift-diffusion equations. Additionally, we present applications of these results to related fields. |
| 분류기호 (MSC number(s)) |
35B50, 35B65, 35Q35, 35R05 |
| 키워드(Keyword(s)) | Singular drift, regularity |
| 강연 형태 (Language of Session (Talk)) |
Korean |