scholarly journals Quasineutral limit for the quantum Navier-Stokes-Poisson equations

2017 ◽  
Vol 16 (1) ◽  
pp. 273-294 ◽  
Author(s):  
Min Li ◽  
◽  
Xueke Pu ◽  
Shu Wang ◽  
◽  
...  
Keyword(s):  
Navier Stokes ◽  
Poisson Equations ◽  
Quasineutral Limit

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.

Strong solutions of the coupled Navier-Stokes-Poisson equations for isentropic compressible fluids

2010 ◽  
Vol 30 (4) ◽  
pp. 1280-1290 ◽  
Author(s):  
Tan Zhong ◽  
Zhang Yinghui
Keyword(s):  
Strong Solutions ◽  
Compressible Fluids ◽  
Navier Stokes ◽  
Poisson Equations

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

2020 ◽  
Vol 269 (11) ◽  
pp. 9936-10001
Author(s):  
Hairong Liu ◽  
Tao Luo ◽  
Hua Zhong
Keyword(s):  
Global Solutions ◽  
Navier Stokes ◽  
Exterior Domains ◽  
Poisson Equations

Weak-strong uniqueness for the Navier–Stokes–Poisson equations

2020 ◽  
Vol 103 ◽  
pp. 106143
Author(s):  
Lianhua He ◽  
Zhong Tan
Keyword(s):  
Navier Stokes ◽  
Strong Uniqueness ◽  
Poisson Equations
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