Global existence of Lagrangian solutions to the ionic Vlasov--Poisson system
김동하
129동 301호
0
676
09.14 11:00
| 구분 | 편미분방정식 |
|---|---|
| 일정 | 2026-09-22(화) 09:00~13:00 |
| 세미나실 | 129동 301호 |
| 강연자 | 구도완 (University of Oxford) |
| 담당교수 | 기타 |
| 기타 |
일시: 2026년 9월 22일 (화) 11:00 - 12:00
장소: 129동 301호
연사: 구도완 (University of Oxford)
제목: Global existence of Lagrangian solutions to the ionic Vlasov--Poisson system
초록: In this talk, we study the Cauchy problem of the ionic Vlasov--Poisson (IVP) system for a broad class of initial data. To this end, we establish well-posedness and stability estimates for the Poisson--Boltzmann equation $-\Delta \Phi = \rho -e^\Phi$ provided $\rho \in L_+^p$ with $p>1$, whereas previous approaches required $p>\frac{d}{2}$. Building upon these results, we construct global-in-time renormalized/Lagrangian solutions to the IVP system. Based on a joint work with Young-Pil Choi and Sihyun Song (Yonsei University).
