Sangwook Tae

activity

20242026

collaborators

5 papers

math.AP2026

Discontinuity of the Vlasov--Poisson Flow in $L_{x}^{p} L_{v}^{\infty}$

Ke Chen, In-Jee Jeong, Quoc-Hung Nguyen +1

We prove that solution maps of the Vlasov--Poisson equation are discontinuous at the zero initial datum in $X_{p} = L_{x}^{p} L_{v}^{\infty}$ for every $1 \leq p < \infty$ , in $\mathbb{R}^{d} \tim…

math.AP2026

Gradient Growth for Vlasov-Poisson in background charge distributed by Desingularized Dirac Delta

Sangwook Tae

We prove the superlinear gradient growth for the one dimensional Vlasov-Poisson equation on the torus. We show them by first constructing the stationary solution which has a hyperb…

math.AP2026

Well-posedness for Vlasov--Poisson on Low Regularity $H^{s, p}$ Spaces in All Dimensions

Sangwook Tae

We consider the Vlasov--Poisson equation on $R^{d} \times R^{d}$ for any dimension. For initial distribution $f_{0}$ having compact support in $v$ and belonging to $H…

math.AP2025

Low regularity Sobolev well-posedness for Vlasov--Poisson

In-Jee Jeong, Sangwook Tae

We consider the Vlasov--Poisson equation on $R^{n} \times R^{n}$ with $n \geq 3$ . We prove local well-posedness in $H^{s} (R^{n} \times R^{n})$ with $s> n…

math.AP2024

Twisting in One Dimensional Periodic Vlasov-Poisson System

Sangwook Tae

We prove that twisting and filamentation occur near a family of stable steady states for one dimensional periodic Vlasov-Poisson system, describing the electron dynamics under a fi…

Discontinuity of the Vlasov--Poisson Flow in Lxp​Lv∞​

Gradient Growth for Vlasov-Poisson in background charge distributed by Desingularized Dirac Delta

Well-posedness for Vlasov--Poisson on Low Regularity Hs,p Spaces in All Dimensions

Low regularity Sobolev well-posedness for Vlasov--Poisson

Twisting in One Dimensional Periodic Vlasov-Poisson System

Discontinuity of the Vlasov--Poisson Flow in $L_{x}^{p} L_{v}^{\infty}$

Well-posedness for Vlasov--Poisson on Low Regularity $H^{s, p}$ Spaces in All Dimensions