5 citations · 6 across the 4 of their papers we have counts for
8 papers
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…
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…
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…
Asymptotic observability identity for the heat equation in R^d
Gengsheng Wang, Ming Wang, Yubiao Zhang
We build up an asymptotic observability identity for the heat equation in the whole space. It says that one can approximately recover a solution, through observing it over some cou…
Observable set, observability, interpolation inequality and spectral inequality for the heat equation in
Gengsheng Wang, Ming Wang, Can Zhang +1
This paper studies connections among observable sets, the observability inequality, the Hölder-type interpolation inequality and the spectral inequality for the heat equation in $\…
Observability and unique continuation inequalities for the Schrödinger equation
Gengsheng Wang, Ming Wang, Yubiao Zhang
In this paper, we present several observability and unique continuation inequalities for the free Schrödinger equation in the whole space. The observations in these inequalities ar…