Xiaoli Li

collaborators

3 papers

math.NA2026

Stability and error analysis of fully discrete original energy-dissipative and length-preserving scheme for the Landau-Lifshitz-Gilbert equation

Binghong Li, Xiaoli Li, Cheng Wang +1

The Landau-Lifshitz-Gilbert (LLG) equation, regarded as a gradient flow with manifold constraint, is the fundamental model describing magnetization dynamics in ferromagnetic materi…

math.NA2026

Stability and convergence analysis of unconditionally original energy dissipative implicit-explicit Runge--Kutta methods for the phase field crystal models without Lipschitz assumptions

Xiaoli Li, Kaiyi Niu, Jiang Yang

The phase field crystal (PFC) method is an efficient technique for simulating the evolution of crystalline microstructures at atomistic length scales and diffusive time scales. Due…

math.AP2024

A quantitative symmetry result for $p$ -Laplace equations with discontinuous nonlinearities

Giulio Ciraolo, Xiaoliang Li

In this paper, we study positive solutions $u$ of the homogeneous Dirichlet problem for the $p$ -Laplace equation $- I^_{p} u = f (u)$ in a bounded domain $I^c ◯ \subset R^{N}$ , where…

Stability and error analysis of fully discrete original energy-dissipative and length-preserving scheme for the Landau-Lifshitz-Gilbert equation

Stability and convergence analysis of unconditionally original energy dissipative implicit-explicit Runge--Kutta methods for the phase field crystal models without Lipschitz assumptions

A quantitative symmetry result for p-Laplace equations with discontinuous nonlinearities

A quantitative symmetry result for $p$ -Laplace equations with discontinuous nonlinearities