93 citations · 107 across the 10 of their papers we have counts for
10 papers
The primitive equations with magnetic field approximation of the 3D MHD equations
Lili Du, Dan Li
In our earlier work \cite{DLL}, we have shown the global well-posedness of strong solutions to the three-dimensional primitive equations with the magnetic field (PEM) on a thin dom…
Global well-posedness of the 3D Primitive Equations with magnetic field
Lili Du, Dan Li
In this paper, the three-dimensional primitive equations with magnetic field (PEM) are considered on a thin domain. We showed the global existence and uniqueness (regularity) of st…
The free boundary of steady axisymmetric inviscid flow with vorticity I: near the degenerate point
Lili Du, Jinli Huang, Yang Pu
In this paper, we investigate the singularity near the degenerate points of the steady axisymmetric flow with general vorticity of an inviscid incompressible fluid acted on by grav…
Steady collision of two jets issuing from two axially symmetric channels
Lili Du, Yongfu Wang
In the classical survey (Chapter 16.2, {\it Mathematics in industrial problem}, Vol. 24, Springer-Verlag, New York, 1989), A. Friedman proposed an open problem on the collision of…
Oblique Injection of incompressible ideal fluid from a slot into a free stream
Jianfeng Cheng, Lili Du
This paper deals with a two-phase fluid free boundary problem in a slot-film cooling. We give two well-posedness results on the existence and uniqueness of the incompressible invis…
Existence and uniqueness of axially symmetric compressible subsonic jet impinging on an infinite wall
Jianfeng Cheng, Lili Du, Qin Zhang
This paper is concerned with the well-posedness theory of the impact of a subsonic axially symmetric jet emerging from a semi-infinitely long nozzle, onto a rigid wall. The fluid m…
A free boundary problem for semi-linear elliptic equation and its applications
Jianfeng Cheng, Lili Du
In this paper, we consider a free boundary problem of a semilinear nonhomogeneous elliptic equation with Bernoulli's type free boundary. The existence and regularity of the solutio…
Incompressible impinging jet flow with gravity
Jianfeng Cheng, Lili Du, Zhouping Xin
In this paper, we investigate steady two-dimensional free-surface flows of an inviscid and incompressible fluid emerging from a nozzle, falling under gravity and impinging onto a h…
Two Dimensional Subsonic Euler Flow. Past a Wall or a Symmetric Body
Chao Chen, Lili Du, Chunjing Xie +1
The existence and uniqueness of two dimensional steady compressible Euler flows past a wall or a symmetric body are established. More precisely, given positive convex horizontal ve…
Subsonic Flows in a Multi-Dimensional Nozzle
Lili Du, Zhouping Xin, Wei Yan
In this paper, we study the global subsonic irrotational flows in a multi-dimensional () infinitely long nozzle with variable cross sections. The flow is described by the…