scholarly journals Stability of Steady States of the Navier--Stokes--Poisson Equations with Non-Flat Doping Profile

2015 ◽  
Vol 47 (1) ◽  
pp. 179-209 ◽  
Author(s):  
Zhong Tan ◽  
Yanjin Wang ◽  
Yong Wang
Keyword(s):  
Steady States ◽  
Doping Profile ◽  
Navier Stokes ◽  
Poisson Equations

Stability for steady states of Navier–Stokes–Poisson equations

2011 ◽  
Vol 74 (15) ◽  
pp. 5205-5214
Author(s):  
Huazhao Xie ◽  
Suli Li
Keyword(s):  
Steady States ◽  
Navier Stokes ◽  
Poisson Equations

scholarly journals Global existence of weak solution for the compressible Navier–Stokes–Poisson system with density-dependent viscosity

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Meiying Cui ◽  
Wenjing Song
Keyword(s):  
Global Solutions ◽  
Approximate Solutions ◽  
Doping Profile ◽  
Navier Stokes ◽  
Density Dependent ◽  
Poisson Equations ◽  
Viscosity Coefficients ◽  
Approximate System ◽  
Dependent Viscosity ◽  
Entropy Estimates

Abstract In this paper, we are concerned with the existence of global weak solutions to the compressible Navier–Stokes–Poisson equations with the non-flat doping profile when the viscosity coefficients are density-dependent, the data are large and spherically symmetric, and we focus on the case where those coefficients vanish in vacuum. We construct a suitable approximate system and consider it in annular regions between two balls. The global solutions are obtained as limits of such approximate solutions. Our proofs are mainly based on the energy and entropy estimates.

Blow-up for the compressible isentropic Navier-Stokes-Poisson equations

2019 ◽  
Vol 70 (1) ◽  
pp. 9-19
Author(s):  
Jianwei Dong ◽  
Junhui Zhu ◽  
Yanping Wang
Keyword(s):  
Blow Up ◽  
Navier Stokes ◽  
Poisson Equations

Global Solutions to the One-Dimensional Compressible Navier--Stokes--Poisson Equations with Large Data

2013 ◽  
Vol 45 (2) ◽  
pp. 547-571 ◽  
Author(s):  
Zhong Tan ◽  
Tong Yang ◽  
Huijiang Zhao ◽  
Qingyang Zou
Keyword(s):  
Global Solutions ◽  
Large Data ◽  
Navier Stokes ◽  
One Dimensional ◽  
Poisson Equations ◽  
The One

scholarly journals Initial boundary value problems for the three-dimensional compressible elastic Navier-Stokes-Poisson equations

2021 ◽  
Vol 10 (1) ◽  
pp. 1356-1383
Author(s):  
Yong Wang ◽  
Wenpei Wu
Keyword(s):  
Equilibrium State ◽  
Boundary Value Problems ◽  
Electrostatic Potential ◽  
Boundary Value ◽  
Three Dimensional ◽  
Initial Boundary ◽  
Navier Stokes ◽  
Initial Boundary Value Problems ◽  
Poisson Equations ◽  
Initial Boundary Value

Abstract We study the initial-boundary value problems of the three-dimensional compressible elastic Navier-Stokes-Poisson equations under the Dirichlet or Neumann boundary condition for the electrostatic potential. The unique global solution near a constant equilibrium state in H 2 space is obtained. Moreover, we prove that the solution decays to the equilibrium state at an exponential rate as time tends to infinity. This is the first result for the three-dimensional elastic Navier-Stokes-Poisson equations under various boundary conditions for the electrostatic potential.

Transonic Steady-States of Euler--Poisson Equations for Semiconductor Models with Sonic Boundary

2022 ◽  
Vol 54 (1) ◽  
pp. 363-388
Author(s):  
Liang Chen ◽  
Ming Mei ◽  
Guojing Zhang ◽  
Kaijun Zhang
Keyword(s):  
Steady States ◽  
Poisson Equations
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