Guopeng Li

Guopeng Li is a Research Fellow at the Department of Mathematics within the School of Mathematical & Computer Sciences at Heriot-Watt University, United Kingdom (postcode EH14 4AS). His academic work focuses on advanced mathematical research in stochastic dynamics and nonlinear systems.

His primary research areas include Stochastic Partial Differential Equations, Nonlinear Analysis, and Probability Theory. He investigates energy-critical stochastic nonlinear Schrödinger equations with emphasis on global well-posedness, boundary conditions, and conservation laws. His theoretical work bridges mathematical physics and stochastic processes, contributing to fundamental understanding of quantum systems under random perturbations.

Recent publications (2021-2022) demonstrate consistent focus on stochastic nonlinear Schrödinger equations, exploring dimensional challenges (4-D systems), boundary value problems, and almost conservation laws. This research trajectory reveals deep specialization in stochastic PDE theory with applications to quantum mechanics and wave propagation phenomena.