19 citations · 33 across the 12 of their papers we have counts for
14 papers
Supercritical mean--field limit for magnetized Hamiltonian dynamic
Immanuel Ben Porat, Gui-Qiang G. Chen, Difan Yuan
The magnetized Vlasov--Poisson equation is a fundamental kinetic model for collisionless plasmas. We establish its quasi-neutral limit in two dimensions in the presence of a spatia…
Nonlinear Stability and Instability of Finite-Energy Solutions of the Compressible Euler-Riesz Equations with General Pressure Laws
Jose A. Carrillo, Samuel R. Charles, Gui-Qiang G. Chen +1
The compressible Euler-Riesz equations arise in the modeling of a wide range of physical phenomena, including stellar dynamics, plasma physics, and mathematical biology. In this pa…
Quantum Quasi-neutral Limits and Isothermal Euler Equations
Immanuel Ben Porat, Gui-Qiang G. Chen, Difan Yuan
We provide a rigorous justification of the semiclassical quasi-neutral and the quantum many-body limits to the isothermal Euler equations. We consider the nonlinear Schrödinger-Poi…
Nonlinear stability of compressible vortex sheets in three-dimensional elastodynamics
Robin Ming Chen, Feimin Huang, Dehua Wang +1
We investigate the nonlinear stability of compressible vortex sheet solutions for three-dimensional (3D) isentropic elastic flows. Building upon previous results on the weakly line…
Global Existence and Nonlinear Stability of Finite-Energy Solutions of the Compressible Euler-Riesz Equations with Large Initial Data of Spherical Symmetry
José A. Carrillo, Samuel R. Charles, Gui-Qiang G. Chen +1
The compressible Euler-Riesz equations are fundamental with wide applications in astrophysics, plasma physics, and mathematical biology. In this paper, we are concerned with the gl…
Global solutions of the one-dimensional compressible Euler equations with nonlocal interactions via the inviscid limit
Jose A. Carrillo, Gui-Qiang G. Chen, Difan Yuan +1
We are concerned with the global existence of finite-energy entropy solutions of the one-dimensional compressible Euler equations with (possibly) damping, alignment forces, and non…
Global Solutions of the Compressible Euler-Poisson Equations for Plasma with Doping Profile for Large Initial Data of Spherical Symmetry
Gui-Qiang G. Chen, Lin He, Yong Wang +1
We establish the global-in-time existence of solutions of finite relative-energy for the multidimensional compressible Euler-Poisson equations for plasma with doping profile for la…
Nonlinear stability and existence of two-dimensional compressible current-vortex sheets
Alessandro Morando, Paolo Secchi, Paola Trebeschi +1
We are concerned with nonlinear stability and existence of two-dimensional current-vortex sheets in ideal compressible magnetohydrodynamics. This is a nonlinear hyperbolic initial-…
Global Solutions of the Compressible Euler-Poisson Equations with Large Initial Data of Spherical Symmetry
Gui-Qiang G. Chen, Lin He, Yong Wang +1
We are concerned with a global existence theory for finite-energy solutions of the multidimensional Euler-Poisson equations for both compressible gaseous stars and plasmas with lar…
Global solutions to rotating motion of isentropic flows with cylindrical symmetry
Difan Yuan
We are concerned with global weak solutions to the isentropic compressible Euler equations with cylindrically symmetric rotating structure, in which the origin is included. Due to…
Global Entropy Solutions to the Gas Flow in General Nozzle
Wentao Cao, Feimin Huang, Difan Yuan
We are concerned with the global existence of entropy solutions for the compressible Euler equations describing the gas flow in a nozzle with general cross-sectional area, for both…
Nonlinear stability and existence of vortex sheets for inviscid liquid-gas two-phase flow
Feimin Huang, Dehua Wang, Difan Yuan
We are concerned with the vortex sheet solutions for the inviscid two-phase flow in two dimensions. In particular, the nonlinear stability and existence of compressible vortex shee…
Large time behavior of entropy solutions to one-dimensional unipolar hydrodynamic model for semiconductor devices
Feimin Huang, Tianhong Li, Huimin Yu +1
We are concerned with the global existence and large time behavior of entropy solutions to the one dimensional unipolar hydrodynamic model for semiconductors in the form of Euler-P…
Global Entropy Solutions to Multi-Dimensional Isentropic Gas Dynamics with Spherical Symmetry
Feimin Huang, Tianhong Li, Difan Yuan
We are concerned with spherically symmetric solutions to the Euler equations for the multi-dimensional compressible fluids, which have many applications in diverse real physical si…