4 papers · 1 filter
Finite-data inverse nodal optimization in angular-momentum sectors of Schrödinger operators
Xijun Deng, Zhisu Liu, Yonghui Xia
In this paper, we study a finite-data inverse nodal optimization problem for radial Schrödinger operators in an arbitrary fixed angular-momentum sector. The analysis is built direc…
Finite inverse nodal problems for singular weighted Sturm--Liouville equations: variational selection and spectral matching
Zhibo Cheng, Yuchao He, Sunan Wang +1
The recent work \cite{HeWuXiaZhang2025} introduced a finite-data inverse nodal framework for regular one-dimensional Sturm-Liouville operators. Nevertheless, formulating a multidim…
Variational formulation for stratified steady water wave in two-layer flows
Yuchao He, Yonghui Xia, Zhe Zhou
In this paper, the variational formulation for steady periodic stratified water waves in two-layer flows is given. The critical points of a natural energy functional is proved to b…
Bifurcation from a blood flow with variable body force
Yuchao He, Yongli Song, Yonghui Xia
This paper investigates the existence of periodic solutions in blood flow propagating through vessels with free boundary conditions via the bifurcation theory. It is rigorously pro…