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math.AP2026
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…
math.AP2026
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…
math.AP2026
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…