Results 1 to 10 of about 49,267 (256)

Inviscid quasi-neutral limit of a Navier-Stokes-Poisson-Korteweg system

Mathematical Modelling and Analysis, 2018
The combined quasi-neutral and inviscid limit of the Navier-Stokes-Poisson-Korteweg system with density-dependent viscosity and cold pressure in the torus T3 is studied.
Hongli Wang, Jianwei Yang
doaj   +6 more sources

Quasi-neutral Limit of a Nonlinear Drift Diffusion Model for Semiconductors

Journal of Mathematical Analysis and Applications, 2002
The authors study the quasi-neutral limit rigorously for a nonlinear drift diffusion model for semiconductors, when the doping profile is a constant or does not change sign, generalizing the previous results of nonlinear adiabatic diffusion. Here they employ multiplier techniques instead of the invariant region method, which allows them to obtain lower
Ingenuin Gasser, Ling Hsiao, Peter A Markowich   +2 more
exaly   +5 more sources

A Mean Field Approach to the Quasi-Neutral Limit for the Vlasov--Poisson Equation [PDF]

SIAM Journal on Mathematical Analysis, 2018
39 pages; corrected typos, added clarification on the existence of suitable initial data, updated ...
Megan Griffin-Pickering, Mikaela Iacobelli   +1 more
exaly   +6 more sources

Quasi-neutral limit of the two-fluid Euler-Poisson system

Communications on Pure and Applied Analysis, 2010
Quasi-neutral limit of the multidimensional isentropic two-fluid Euler-Poisson system is rigorously justified. For well-prepared initial data, as the Debye length goes to zero, the convergence of the bipolar Euler-Poisson system to the compressible Euler equations is proved in the time interval where a smooth solution of the limit problem exists.
Qiangchang Ju, Yong Li, Song Jiang
exaly   +2 more sources

Quasi-Neutral Limit, Dispersion, and Oscillations for Korteweg-Type Fluids [PDF]

SIAM Journal on Mathematical Analysis, 2015
Updated to author's accepted ...
Donatella Donatelli, Pierangelo Marcati   +1 more
exaly   +5 more sources

Quasi-Neutral Limit of the Euler–Poisson and Euler–Monge–Ampère Systems [PDF]

Communications in Partial Differential Equations, 2005
This paper studies the pressureless Euler-Poisson system and its fully non-linear counterpart, the Euler-Monge-Ampère system, where the fully non-linear Monge-Ampère equation substitutes for the linear Poisson equation. While the first is a model of plasma physics, the second is derived as a geometric approximation to the Euler incompressible equations.
Gregoire Loeper
exaly   +3 more sources

Quasi-neutral limit of the full Navier–Stokes–Fourier–Poisson system

Journal of Differential Equations, 2015
The authors consider the Navier-Stokes-Fourier-Poisson (MSFP) system, which is a model of a compressible electron fluid in a charged ion background. The electrostatic effects persist only within a fixed length \(\lambda\), which is called the Debye length.
Yong Li, Qiangchang Ju
exaly   +2 more sources

Global Quasi-Neutral Limit for a Two-Fluid Euler–Poisson System in Several Space Dimensions

SIAM Journal on Mathematical Analysis, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yue-Jun Peng, Cunming Liu
exaly   +4 more sources

Quasi-neutral limit of Euler–Poisson system of compressible fluids coupled to a magnetic field [PDF]

Zeitschrift Fur Angewandte Mathematik Und Physik, 2018
In this paper, we consider the quasi-neutral limit of a three dimensional Euler-Poisson system of compressible fluids coupled to a magnetic field. We prove that, as Debye length tends to zero, periodic initial-value problems of the model have unique smooth solutions existing in the time interval where the ideal incompressible magnetohydrodynamic ...
Jianwei Yang, Yang Jianwei
exaly   +3 more sources

Quasi-neutral Limit of Nernst–Planck–Navier–Stokes System

SIAM Journal on Mathematical Analysis
In this paper, we investigate the quasi-neutral limit of Nernst-Planck-Navier-Stokes system in a smooth bounded domain $Ω$ of $\mathbb{R}^d$ for $d=2,3,$ with ``electroneutral boundary conditions" and well-prepared data. We first prove by using modulated energy estimate that the solution sequence converges to the limit system in the norm of $L^\infty ...
Ping Zhang, Yibin Zhang
exaly   +3 more sources