2 citations · 8 across the 11 of their papers we have counts for
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Global Existence of Classical Solutions to the Relativistic Quantum Hydrodynamic System with Small Initial Data
Ben Duan, Rongrong Yan
We establish global existence, decay, and scattering for sufficiently small, smooth, and localized perturbations of a constant non-vacuum equilibrium of a relativistic quantum hydr…
Global Uniqueness of Subsonic Flows for the Steady Euler-Poisson System
Myoungjean Bae, Ben Duan, Chunjing Xie
We prove the global uniqueness of multidimensional subsonic flows for the steady Euler--Poisson system in a bounded nozzle in the sense that uniqueness holds without restricting so…
Derivation and local well-posedness of a relativistic quantum hydrodynamic system on the Heisenberg group
Ben Duan, Yutian Li, Rongrong Yan +1
We derive and analyze a relativistic quantum hydrodynamic (RQHD) system on the Heisenberg group. Starting from the Klein--Gordon--Poisson system, we apply the Madelung transformati…
A relativistic quantum Euler-Poisson system derived from the Klein-Gordon-Poisson equation: hyperbolic-elliptic structure
Ben Duan, Jun Li, Bin Guo +1
In the Klein-Gordon equation, quantum and relativistic parameters are strongly coupled, which poses significant analytical challenges in the derivation and analysis of related clas…
Classical solutions to a mixed-type PDE with a Keldysh-type degeneracy and accelerating transonic solutions to the Euler-Poisson system
Myoungjean Bae, Ben Duan, Chunjing Xie
In this paper, we first prove the existence of classical solutions to a class of Keldysh-type equations. Next, we apply this existence result to prove the structural stability of o…
The steady Euler-Poisson system and accelerating flows with transonic -transitions
Myoungjean Bae, Ben Duan, Chunjing Xie
In this paper, we prove the existence of two-dimensional solutions to the steady Euler-Poisson system with continuous transonic transitions across sonic interfaces of codimension 1…
Structural stability of Supersonic solutions to the Euler-Poisson system
Myoungjean Bae, Ben Duan, Jingjing Xiao +1
The well-posedness for the supersonic solutions of the Euler-Poisson system for hydrodynamical model in semiconductor devices and plasmas is studied in this paper. We first reformu…
Two dimensional subsonic flows with self-gravitation in bounded domain
Myoungjean Bae, Ben Duan, Chunjing Xie
We investigate two dimensional steady Euler-Poisson system which describe the motion of compressible self-gravitating flows. The unique existence and stability of subsonic flows in…
Subsonic solutions for steady Euler-Poisson system in two dimensional nozzles
Myoungjean Bae, Ben Duan, Chunjing Xie
In this paper, we prove the existence and stability of subsonic flows for steady full Euler-Poisson system in a two dimensional nozzle of finite length when imposing the electric p…
Subsonic flow for multidimensional Euler-Poisson system
Myoungjean Bae, Ben Duan, Chunjing Xie
We establish unique existence and stability of subsonic potential flow for steady Euler-Poisson system in a multidimensional nozzle of a finite length when prescribing the electric…