3 papers
math.AP2026
Well-posedness for Vlasov--Poisson on Low Regularity Spaces in All Dimensions
Sangwook Tae
We consider the Vlasov--Poisson equation on for any dimension. For initial distribution having compact support in 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 with . We prove local well-posedness in 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…