4 papers
Finite-Time Blow-Up for Wave Equations with Nonlinear \(p\)-Laplacian Damping
Menglan Liao, Mingxue Zhang
We consider a wave equation with linear elasticity, nonlinear \(p\)-Laplacian damping acting on the velocity, and a focusing power source in a bounded three-dimensional domain. For…
A Step in the Right Place: Understanding and Optimizing Timestep Placement in Continuous Diffusion Language Models
Shutian Zheng, Zhihong Yu, Linye Wei +2
Continuous diffusion language models represent an emerging paradigm for language modeling. They generate text in parallel by iteratively refining continuous representations and map…
Blow-up at arbitrary energy levels for a strongly damped viscoelastic wave equation with a variable-exponent logarithmic source
Menglan Liao, Mingxue Zhang
We study a strongly damped viscoelastic wave equation with a logarithmic source whose measurable exponent satisfies . An optimal pointwise correction to…
Local Well-Posedness of the Unsteady Boundary Layer System for Dilatant Power-Law Fluids
Mingxue Zhang, Zhonger Wu
We establish local-in-time existence and uniqueness of monotone classical solutions to the two-dimensional nonstationary boundary layer equations for dilatant power-law fluids in a…