EXISTENCE OF A GLOBAL ATTRACTOR FOR THE SLIGHTLY COMPRESSIBLE 2-D NAVIER–STOKES EQUATIONS IN THE CASE OF A THERMOHYDRAULIC PROBLEM

1996 ◽  
Vol 06 (01) ◽  
pp. 59-75 ◽  
Author(s):  
SERGE NJAMKEPO
Keyword(s):  
Global Attractor ◽  
Compressible Fluid ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Slightly Compressible

A theorem by J. M. Ghidaglia and R. Temam shows the existence and finitness of attractors for 2-D Navier–Stokes equations for a sligthly compressible fluid. In this paper we extend their result to the equations of thermohydraulic for the same fluid.

scholarly journals Flow of a viscous compressible fluid produced in a circular tube by an impulsive point source

2011 ◽  
Vol 668 ◽  
pp. 100-112 ◽  
Author(s):  
B. U. FELDERHOF ◽  
G. OOMS
Keyword(s):  
Compressible Fluid ◽  
Numerical Scheme ◽  
Stokes Equations ◽  
Circular Tube ◽  
Slip Boundary Condition ◽  
Navier Stokes ◽  
Viscous Compressible Fluid ◽  
Navier Stokes Equations ◽  
Slip Boundary ◽  
Sudden Impulse

The flow of a viscous compressible fluid in a circular tube generated by a sudden impulse at a point on the axis is studied on the basis of the linearized Navier–Stokes equations. A no-slip boundary condition is assumed to hold on the wall of the tube. An efficient numerical scheme has been developed for the calculation of flow velocity and pressure disturbance as a function of position and time.

The slightly compressible Navier–Stokes equations revisited

2001 ◽  
Vol 46 (8) ◽  
pp. 1165-1195 ◽  
Author(s):  
Pierre Fabrie ◽  
Cédric Galusinski
Keyword(s):  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Slightly Compressible
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