scholarly journals Regularity of solutions for the Navier–Stokes system of incompressible flows on a polygon

2007 ◽  
Vol 235 (1) ◽  
pp. 166-198 ◽  
Author(s):  
Jae Ryong Kweon
Keyword(s):  
Stokes System ◽  
Incompressible Flows ◽  
Regularity Of Solutions ◽  
Navier Stokes

scholarly journals In-Flow and Out-Flow Problem for the Stokes System

2020 ◽  
Vol 22 (4) ◽  
Author(s):  
Bernard Nowakowski ◽  
Gerhard Ströhmer
Keyword(s):  
Stokes System ◽  
Flow Problem ◽  
Stokes Equations ◽  
Three Dimensional ◽  
Tangential Component ◽  
Regularity Of Solutions ◽  
Navier Stokes ◽  
Lateral Part ◽  
Navier Stokes Equations ◽  
Stationary Navier Stokes Equations

AbstractWe investigate the existence and regularity of solutions to the stationary Stokes system and non-stationary Navier–Stokes equations in three dimensional bounded domains with in- and out-lets. We assume that on the in- and out-flow parts of the boundary the pressure is prescribed and the tangential component of the velocity field is zero, whereas on the lateral part of the boundary the fluid is at rest.

scholarly journals Topology Optimization of Time Dependent Viscous Incompressible Flows

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Mohamed Abdelwahed ◽  
Maatoug Hassine
Keyword(s):  
Fluid Flow ◽  
Stokes System ◽  
Incompressible Flows ◽  
Navier Stokes ◽  
Dissipated Energy ◽  
Viscous Incompressible Flows ◽  
Topology And Shape Optimization ◽  
Design Function ◽  
Flow Domain ◽  
Small Obstacle

In this paper, we consider topology and shape optimization problem related to the nonstationary Navier-Stokes system. The minimization of dissipated energy in the fluid flow domain is discussed. The proposed approach is based on a sensitivity analysis of a design function with respect to the insertion of a small obstacle in the fluid flow domain. Some numerical results show the efficiency and accurate of the proposed approach.

Regularity of Solutions to Vorticity Navier–Stokes System on ℝ2

2005 ◽  
Vol 258 (2) ◽  
pp. 339-348 ◽  
Author(s):  
Maxim Arnold ◽  
Yuri Bakhtin ◽  
Efim Dinaburg
Keyword(s):  
Stokes System ◽  
Regularity Of Solutions ◽  
Navier Stokes

Regularity of solutions of the Navier-Stokes system on the plane

2004 ◽  
Vol 59 (3) ◽  
pp. 560-561
Author(s):  
M D Arnold ◽  
Yu Yu Bakhtin ◽  
E I Dinaburg
Keyword(s):  
Stokes System ◽  
Regularity Of Solutions ◽  
Navier Stokes

Numerical solution of the reduced Navier-Stokes equations for internal incompressible flows

AIAA Journal ◽  
2000 ◽  
Vol 38 ◽  
pp. 1603-1614
Author(s):  
Martin Scholtysik ◽  
Bernhard Mueller ◽  
Torstein K. Fannelop
Keyword(s):  
Numerical Solution ◽  
Incompressible Flows ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations

scholarly journals Some preliminary observations on a defect Navier–Stokes system

2019 ◽  
Vol 347 (10) ◽  
pp. 677-684 ◽  
Author(s):  
Amit Acharya ◽  
Roger Fosdick
Keyword(s):  
Stokes System ◽  
Navier Stokes
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