Asymptotic stability of stationary solutions to the compressible bipolar Navier-Stokes-Poisson equations

2017 ◽  
Vol 40 (12) ◽  
pp. 4493-4513 ◽  
Author(s):  
Hong Cai ◽  
Zhong Tan
Keyword(s):  
Asymptotic Stability ◽  
Stationary Solutions ◽  
Navier Stokes ◽  
Poisson Equations

Asymptotic stability of stationary Navier–Stokes flow in Besov spaces

2021 ◽  
pp. 1-22
Author(s):  
Jayson Cunanan ◽  
Takahiro Okabe ◽  
Yohei Tsutsui
Keyword(s):  
Asymptotic Stability ◽  
Stokes Flow ◽  
Besov Spaces ◽  
Stokes Equations ◽  
Stationary Solutions ◽  
Navier Stokes ◽  
Main Ingredient ◽  
Navier Stokes Equations ◽  
Whole Space

We discuss the asymptotic stability of stationary solutions to the incompressible Navier–Stokes equations on the whole space in Besov spaces. A critical estimate for the semigroup generated by the Laplacian with a perturbation is the main ingredient of the argument.

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
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