4 papers
math.AP2026
Moment Propagation for the Vlasov--Poisson System with Gyroscopic Forces, Velocity Diffusion, and Specular Reflection
Jingpeng Wu
This paper studies the three-dimensional Vlasov--Poisson system with gyroscopic forces and velocity diffusion. For the Cauchy problem in and the specular--Dirichlet p…
math.AP2023
On the non-uniqueness of transport equation: the quantitative relationship between temporal and spatial regularity
Jingpeng Wu
In this paper, we consider the non-uniqueness of transport equation on the torus , with density and divergence-free vector field $\boldsymbol{u}…
math.AP2023
Non-uniqueness of the transport equation at high spacial integrability
Jingpeng Wu, Xianwen Zhang
In this paper, we show the non-uniqueness of the weak solution in the class for the transport equation driven by a divergence-free vector field $\boldsymbol{u}\…
math.AP2023
The gyrokinetic limit for the two dimensional Vlasov-Poisson system with multi-point charges
Jingpeng Wu
In this article, we investigate the gyrokinetic limit for the two dimensional Vlasov-Poisson system with multi-point charges. We show that the solution converges to a measure-value…