4 papers
Optimal control of variable-exponent subdiffusion
Yiqun Li, Mengmeng Liu, Wenlin Qiu +1
This work investigates the optimal control of the variable-exponent subdiffusion, which extends the work [Gunzburger and Wang, SIAM J. Control Optim. 2019] to the variable-exponent…
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…
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…
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…