Time periodic solution to the compressible navier-stokes equations in a periodic domain

2016 ◽  
Vol 36 (4) ◽  
pp. 1015-1029 ◽  
Author(s):  
Chunhua JIN ◽  
Tong YANG
Keyword(s):  
Periodic Solution ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Periodic Domain ◽  
Navier Stokes Equations ◽  
Time Periodic ◽  
Time Periodic Solution

scholarly journals Periodic Solution and Asymptotic Stability for the Magnetohydrodynamic Equations with Inhomogeneous Boundary Condition

Axioms ◽  
2019 ◽  
Vol 8 (2) ◽  
pp. 44
Author(s):  
Igor Kondrashuk ◽  
Eduardo Alfonso Notte-Cuello ◽  
Mariano Poblete-Cantellano ◽  
Marko Antonio Rojas-Medar
Keyword(s):  
Periodic Solution ◽  
Asymptotic Stability ◽  
Boundary Conditions ◽  
Stokes Equations ◽  
Strong Solutions ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Compactness Arguments ◽  
Time Periodic ◽  
The Magnetic Field

We show, using the spectral Galerkin method together with compactness arguments, the existence and uniqueness of the periodic strong solutions for the magnetohydrodynamic-type equations with inhomogeneous boundary conditions. Furthermore, we study the asymptotic stability for the time periodic solution for this system. In particular, when the magnetic field h ( x , t ) is zero, we obtain the existence, uniqueness, and asymptotic behavior of the strong solutions to the Navier–Stokes equations with inhomogeneous boundary conditions.

scholarly journals Time periodic Navier–Stokes equations in a thin tube structure

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
R. Juodagalvytė ◽  
G. Panasenko ◽  
K. Pileckas
Keyword(s):  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Thin Tube ◽  
Time Periodic ◽  
Tube Structure
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