8 papers
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…
Optimal control of variable-exponent subdiffusion
Yiqun Li, Mengmeng Liu, Wenlin Qiu
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…
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…
Weighted Sonine conditions and application
Xiangcheng Zheng, Shangqin Zhu, Yiqun Li
The Sonine kernel described by the classical Sonine condition of convolution form is an important class of kernels used in integral equations and nonlocal differential equations. T…
Addressing complex boundary conditions of miscible flow and transport in two and three dimensions with application to optimal control
Yiqun Li, Hong Wang, Xiangcheng Zheng
We investigate complex boundary conditions of the miscible displacement system in two and three space dimensions with the commonly-used Bear-Scheidegger diffusion-dispersion tensor…
Local modification of subdiffusion by initial Fickian diffusion: Multiscale modeling, analysis and computation
Xiangcheng Zheng, Yiqun Li, Wenlin Qiu
We propose a local modification of the standard subdiffusion model by introducing the initial Fickian diffusion, which results in a multiscale diffusion model. The developed model…
A time-fractional optimal transport and mean-field planning: Formulation and algorithm
Yiqun Li, Hong Wang, Wuchen Li
The time-fractional optimal transport (OT) and mean-field planning (MFP) models are developed to describe the anomalous transport of the agents in a heterogeneous environment such…