3 papers
math.NA2025
Compact difference method for Euler-Bernoulli beams and plates with nonlinear nonlocal strong damping
Tao Guo, Yiqun Li, Wenlin Qiu
We investigate the numerical approximation to the Euler-Bernoulli (E-B) beams and plates with nonlinear nonlocal strong damping, which describes the damped mechanical behavior of b…
math.AP2025
Analysis of evolution equation with variable-exponent memory modeling multiscale viscoelasticity
Yiqun Li, Xiangcheng Zheng
We investigate the well-posedness and solution regularity of an evolution equation with non-positive type variable-exponent memory, which describes multiscale viscoelasticity in ma…
math.NA2024
A multiscale Abel kernel and application in viscoelastic problem
Wenlin Qiu, Tao Guo, Yiqun Li +2
We consider the variable-exponent Abel kernel and demonstrate its multiscale nature in modeling crossover dynamics from the initial quasi-exponential behavior to long-term power-la…