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math.AP2026
Stationary Vlasov-Poisson-Boltzmann system in a convex domain
Hongxu Chen, Jiaxin Jin
We study the stationary and dynamical Vlasov-Poisson-Boltzmann system in a bounded, convex domain subject to a confining external potential field. For the stationary problem, we co…
math.AP2023
Boundary effect under 2D Newtonian gravity potential in the phase space
Jiaxin Jin, Chanwoo Kim
We study linear two-half dimensional Vlasov equations under the logarithmic gravity potential in the half space of diffuse reflection boundary. We prove decay-in-time of the expone…
math.AP2023
Asymptotic stability of 3D relativistic collisionless plasma states in ambient magnetic fields with a boundary
Jiaxin Jin, Chanwoo Kim
Motivated by the stellar wind ejected from the upper atmosphere (Corona) of a star, we explore a boundary problem of the two-species nonlinear relativistic Vlasov-Poisson systems i…