Zhiwen Zhang

A note on Landau damping of two-species Vlasov–Poisson system

Abstract In this note we adopt an approach by Grenier et al (2021 Math. Res. Lett. 28 1679–1702) for studying the nonlinear Landau damping of the two-species Vlasov–Poisson system in the phase space T x d × R v d with the dimension d ⩾ 1 . The main goal is twofold: one is to exte...

Operator Inference for Elliptic Eigenvalue Problems

Efficient computation of elliptic eigenvalue problems is critical in science and engineering. In this paper, we propose a novel operator learning framework that directly maps arbitrary domains to their associated eigenvalues and eigenfunctions. Our approach employs a hybrid archi...