Global solutions of the Euler—Maxwell two-fluid system in 3D

Y Guo, AD Ionescu, B Pausader - annals of Mathematics, 2016 - JSTOR
The fundamental" two-fluid" model for describing plasma dynamics is given by the Euler–
Maxwell system, in which compressible ion and electron fluids interact with their own self …

The Euler–Poisson system in 2D: global stability of the constant equilibrium solution

AD Ionescu, B Pausader - International Mathematics Research …, 2013 - ieeexplore.ieee.org
The Euler–Poisson System in 2D: Global Stability of the Constant Equilibrium Solution Page 1
AD Ionescu and B. Pausader (2013) “The Euler–Poisson System in 2D:,” International …

A class of global solutions to the Euler–Poisson system

M Hadžić, JJ Jang - Communications in Mathematical Physics, 2019 - Springer
Using recent developments in the theory of globally defined expanding compressible gases,
we construct a class of global-in-time solutions to the compressible 3-D Euler–Poisson …

The Cauchy problem for the two dimensional Euler–Poisson system

D Li, Y Wu - Journal of the European Mathematical Society, 2014 - ems.press
Abstract The Euler-Poisson system is a fundamental two-fluid model to describe the
dynamics of the plasma consisting of compressible electrons and a uniform ion background …

Eulerian dynamics in multidimensions with radial symmetry

C Tan - SIAM Journal on Mathematical Analysis, 2021 - SIAM
We study the global wellposedness of pressureless Eulerian dynamics in multidimensions,
with radially symmetric data. Compared with the one-dimensional system, a major difference …

Absence of shocks for one dimensional Euler–Poisson system

Y Guo, L Han, J Zhang - Archive for Rational Mechanics and Analysis, 2017 - Springer
Absence of Shocks for One Dimensional Euler–Poisson System Page 1 Digital Object Identifier
(DOI) 10.1007/s00205-016-1053-4 Arch. Rational Mech. Anal. 223 (2017) 1057–1121 Absence …

Local well-posedness for the motion of a compressible, self-gravitating liquid with free surface boundary

D Ginsberg, H Lindblad, C Luo - Archive for Rational Mechanics and …, 2020 - Springer
We establish the local well-posedness for the free boundary problem for the compressible
Euler equations describing the motion of liquid under the influence of Newtonian self-gravity …

Critical thresholds in one-dimensional damped Euler–Poisson systems

M Bhatnagar, H Liu - Mathematical Models and Methods in Applied …, 2020 - World Scientific
This paper is concerned with the critical threshold phenomenon for one-dimensional
damped, pressureless Euler–Poisson equations with electric force induced by a constant …

On well-posedness and singularity formation for the Euler–Riesz system

YP Choi, IJ Jeong - Journal of Differential Equations, 2022 - Elsevier
In this paper, we investigate the initial value problem for the Euler–Riesz system, where the
interaction forcing is given by∇(− Δ) s ρ for some− 1< s< 0, with s=− 1 corresponding to the …

[HTML][HTML] Global solutions to compressible Navier-Stokes-Poisson and Euler-Poisson equations of plasma on exterior domains

H Liu, T Luo, H Zhong - Journal of Differential Equations, 2020 - Elsevier
The initial boundary value problems for compressible Navier-Stokes-Poisson and Euler-
Poisson equations of plasma are considered on exterior domains in this paper. With the …