12 citations · 21 across the 12 of their papers we have counts for
12 papers
Flow Field Reconstruction with Sensor Placement Policy Learning
Ruoyan Li, Guancheng Wan, Zijie Huang +5
Flow-field reconstruction from sparse sensor measurements remains a central challenge in modern fluid dynamics, as the need for high-fidelity data often conflicts with practical li…
Asymptotic behavior at infinity and existence of solutions to the Lagrangian mean curvature flow in
Jiguang Bao, Zixiao Liu
This paper investigates the asymptotic behavior at infinity of ancient solutions to the Lagrangian mean curvature flow. Under conditions that admit Liouville type rigidity theorems…
Entire solutions to the parabolic Monge--Ampère equation with unbounded nonlinear growth in time
Ning An, Jiguang Bao, Zixiao Liu
The Liouville type theorem on the parabolic Monge--Ampère equation states that any entire parabolically convex classical solution must be of form up…
Existence of entire solutions to the Lagrangian mean curvature equations in supercritical phase
Zixiao Liu, Cong Wang, Jiguang Bao
In this paper, we establish the existence and uniqueness theorem of entire solutions to the Lagrangian mean curvature equations with prescribed asymptotic behavior at infinity. The…
Asymptotic behavior of solutions to the Monge--Ampère equations with slow convergence rate at infinity
Zixiao Liu, Jiguang Bao
We consider the asymptotic behavior of solutions to the Monge--Ampère equations with slow convergence rate at infinity and fulfill previous results under faster convergence rate by…
Asymptotic expansion of 2-dimensional gradient graph with vanishing mean curvature at infinity
Zixiao Liu, Jiguang Bao
In this paper, we establish the asymptotic expansion at infinity of gradient graph in dimension 2 with vanishing mean curvature at infinity. This corresponds to our previous result…
Asymptotic expansion and optimal symmetry of minimal gradient graph equations in dimension 2
Zixiao Liu, Jiguang Bao
In this paper, we study asymptotic expansion at infinity and symmetry of zero mean curvature equations of gradient graph in dimension 2, which include the Monge--Ampère equation, i…
Symmetry of solutions of minimal gradient graph equations on punctured space
Zixiao Liu, Jiguang Bao
In this paper, we study symmetry and existence of solutions of minimal gradient graph equations on punctured space , which include the Monge-Ampère equat…
Asymptotic expansion at infinity of solutions of Monge-Ampère type equations
Zixiao Liu, Jiguang Bao
We obtain a quantitative expansion at infinity of solutions for a kind of Monge-Ampère type equations that origin from mean curvature equations of Lagrangian graph and…
Asymptotic expansion at infinity of solutions of special Lagrangian equations
Zixiao Liu, Jiguang Bao
We obtain a quantitative high order expansion at infinity of solutions for a family of fully nonlinear elliptic equations on exterior domain, refine the study of the asymptotic beh…
Asymptotic behavior of positive solutions of some nonlinear elliptic equations on cylinders
Shan Chen, Zixiao Liu
We establish quantitative asymptotic behavior of positive solutions of a family of nonlinear elliptic equations on the half cylinder near the end. This unifies the study of isolate…
Asymptotic behavior at infinity of solutions of Lagrangian mean curvature equations
Jiguang Bao, Zixiao Liu
We studied the asymptotic behavior of solutions with quadratic growth condition of a class of Lagrangian mean curvature equations in exterior domain, where …