3 papers
math.NA2026
A Structure-Preserving Numerical Scheme for Optimal Control and Design of Mixing in Incompressible Flows
Weiwei Hu, Ziqian Li, Yubiao Zhang +1
We develop a structure-preserving computational framework for optimal mixing control in incompressible flows. Our approach exactly conserves the continuous system's key invariants…
math.AP2025
Periodic propagation of singularities for heat equations with time delay
Gengsheng Wang, Huaiqiang Yu, Yubiao Zhang
This paper presents two remarkable phenomena associated with the heat equation with a time delay: namely, the propagation of singularities and periodicity. These are manifested thr…
math.OC2024
Sampling Observability for Heat Equations with Memory
Lingying Ma, Gengsheng Wang, Yubiao Zhang
This paper studies the sampling observability for the heat equations with memory in the lower-order term, where the observation is conducted at a finite number of time instants and…