Wenrui Huang

I am mainly interested in the long-time behavior and stability problems in kinetic (Vlasov–Poisson, Vlasov–Riesz and Vlasov–Maxwell) and dispersive PDEs (NLS, Hartree).

I have worked on, or am interested in, the following topics.

1. Long-time behavior of kinetic and dispersive equations, such as the Vlasov–Poisson, Vlasov–Riesz, NLS and Hartree equations and their coupling, especially (modified) scattering theory: whether solutions eventually behave like solutions of the free equation, and how this asymptotic picture has to be corrected for long-range interactions (Coulomb and Riesz) or in the presence of an external potential, such as a repulsive harmonic potential or a Coulomb potential.

2. Linear and nonlinear stability of steady states of the Vlasov–Poisson system, including homogeneous equilibria (Landau damping) and inhomogeneous equilibria (BGK waves).

3. Asymptotic stability in the presence of a boundary, for example the Vlasov–Poisson system in domains with a perfectly conducting wall.

Asymptotic behavior of the one-dimensional Vlasov–Poisson system with a repulsive harmonic potential

arXiv:2610.02551

A common structure for modified scattering: Vlasov–Riesz, Hartree, and their coupling

with M. Xie arXiv:2610.02643

Long-time dynamics of Vlasov–Hartree systems across the Coulomb threshold

with M. Xie arXiv:2608.04402

Scattering map for the Vlasov–Poisson system with a repulsive harmonic potential

with H. Kwon arXiv:2602.21344

Stability and instability of small BGK waves

with D. Bian, E. Grenier and B. Pausader arXiv:2601.10030

Modified wave operators for the Hartree equation with repulsive Coulomb potential

arXiv:2411.02737

The Vlasov–Poisson System with a Perfectly Conducting Wall: Convex Domains

with B. Pausader and M. Suzuki Commun. Math. Phys. 407, 219 (2026)

Scattering of the Vlasov–Riesz system in three dimensions

with H. Kwon Annales Henri Poincaré (2026)