Research Overview
My research work over the past five years has focused on two areas: the mathematical analysis of the Cauchy problem for quasilinear hyperbolic equations, and the theory of non-additive measures on general sigma-algebras.
Research Projects
1. A class of quasilinear elliptic partial differential equations with KKT constraints: multiscale analysis and its application to multistable contact in microscale interfaces.
Teaching Courses
1. Linear algebra
2. Numerical analysis
3. Introduction to real analysis and measure theory
4. Introduction to functional analysis
5. Matrix theory
Selected Publications
1. Peng Y J, Du S M. Convergence of first-order quasilinear hyperbolic systems to hyperbolic-parabolic systems [J]. Nonlinear Anal-Theory Methods Appl, 2025, 259.
2. Xu X, Xu C Z, Du S M, et al. Output feedback stabilization of a rotating body-beam system at zero angular velocity [J]. Systems & Control Letters, 2026, 211.
