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math.OC2025
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…
math.OC2024
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…
math.OC2023
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…