scholarly journals On stability of Leray's stationary solutions of the Navier–Stokes system in exterior domains

2017 ◽  
Vol 69 (1) ◽  
pp. 373-396
Author(s):  
Hajime KOBA
Keyword(s):  
Stokes System ◽  
Stationary Solutions ◽  
Navier Stokes ◽  
Exterior Domains

scholarly journals Asymptotics of solutions to the Navier-Stokes system in exterior domains

2014 ◽  
Vol 90 (3) ◽  
pp. 785-806 ◽  
Author(s):  
Dragoş Iftimie ◽  
Grzegorz Karch ◽  
Christophe Lacave
Keyword(s):  
Stokes System ◽  
Navier Stokes ◽  
Exterior Domains ◽  
Asymptotics Of Solutions

scholarly journals ON COUPLED PROBLEMS FOR VISCOUS FLOW IN EXTERIOR DOMAINS

1998 ◽  
Vol 08 (04) ◽  
pp. 657-684 ◽  
Author(s):  
M. FEISTAUER ◽  
C. SCHWAB
Keyword(s):  
Stokes Flow ◽  
Stokes System ◽  
Stokes Problem ◽  
Large Data ◽  
Transmission Conditions ◽  
Navier Stokes ◽  
Coupled Problems ◽  
Exterior Domains ◽  
Existence Of A Solution ◽  
Coupled Problem

The use of the complete Navier–Stokes system in an unbounded domain is not always convenient in computations and, therefore, the Navier–Stokes problem is often truncated to a bounded domain. In this paper we simulate the interaction between the flow in this domain and the exterior flow with the aid of a coupled problem. We propose in particular a linear approximation of the exterior flow (here the Stokes flow or potential flow) coupled with the interior Navier–Stokes problem via suitable transmission conditions on the artificial interface between the interior and exterior domains. Our choice of the transmission conditions ensures the existence of a solution of the coupled problem, also for large data.

scholarly journals On Convergence of Arbitrary D-Solution of Steady Navier–Stokes System in 2D Exterior Domains

2019 ◽  
Vol 233 (1) ◽  
pp. 385-407 ◽  
Author(s):  
Mikhail V. Korobkov ◽  
Konstantin Pileckas ◽  
Remigio Russo
Keyword(s):  
Stokes System ◽  
Navier Stokes ◽  
Exterior Domains
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