Stability of stationary solutions for the unipolar isentropic compressible Navier–Stokes–Poisson system

2021 ◽  
Author(s):  
Hakho Hong ◽  
Jinsung Kim
Keyword(s):  
Stationary Solutions ◽  
Navier Stokes ◽  
Poisson System

The stability of stationary solution for outflow problem on the navier-stokes-poisson system

2016 ◽  
Vol 36 (4) ◽  
pp. 1098-1116 ◽  
Author(s):  
Mina JIANG ◽  
Suhua LAI ◽  
Haiyan YIN ◽  
Changjiang ZHU
Keyword(s):  
Stationary Solution ◽  
Navier Stokes ◽  
Poisson System ◽  
The Stability

Existence and stability of static shells for the Vlasov–Poisson system

Analysis ◽  
2006 ◽  
Vol 26 (4) ◽  
Author(s):  
Achim Schulze
Keyword(s):  
Spherical Symmetry ◽  
Variational Approach ◽  
Stationary Solutions ◽  
Poisson System ◽  
Existence And Stability

We prove the existence and stability of stationary solutions to the Vlasov–Poisson System with spherical symmetry, which describe static shells, i.e., the support of their densities is bounded away from the origin. We use a variational approach which was established by Y. Guo and G. Rein.

scholarly journals Disconnected stationary solutions for 3D Kolmogorov flow problem: preliminary results

2021 ◽  
Vol 2090 (1) ◽  
pp. 012046
Author(s):  
Nikolay M. Evstigneev
Keyword(s):  
Flow Problem ◽  
Stokes Equations ◽  
Continuation Method ◽  
Fourier Method ◽  
Stationary Solutions ◽  
Navier Stokes ◽  
System Of Nonlinear Equations ◽  
Arc Length ◽  
Navier Stokes Equations ◽  
Numerical Bifurcation

Abstract The extension of the classical A.N. Kolmogorov’s flow problem for the stationary 3D Navier-Stokes equations on a stretched torus for velocity vector function is considered. A spectral Fourier method with the Leray projection is used to solve the problem numerically. The resulting system of nonlinear equations is used to perform numerical bifurcation analysis. The problem is analyzed by constructing solution curves in the parameter-phase space using previously developed deflated pseudo arc-length continuation method. Disconnected solutions from the main solution branch are found. These results are preliminary and shall be generalized elsewhere.

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