Nonlocal overdetermined boundary value problem for stationary Navier-Stokes equations

2008 ◽  
Vol 48 (6) ◽  
pp. 996-1000
Author(s):  
A. A. Illarionov
Keyword(s):  
Boundary Value Problem ◽  
Stokes Equations ◽  
Boundary Value ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Overdetermined Boundary Value Problem ◽  
Stationary Navier Stokes Equations

scholarly journals ON NONHOMOGENEOUS BOUNDARY VALUE PROBLEM FOR THE STATIONARY NAVIER-STOKES EQUATIONS IN A SYMMETRIC CUSP DOMAIN

2021 ◽  
Vol 26 (1) ◽  
pp. 55-71
Author(s):  
Kristina Kaulakytė ◽  
Neringa Klovienė
Keyword(s):  
Boundary Value Problem ◽  
Stokes Equations ◽  
Boundary Value ◽  
Navier Stokes ◽  
Cusp Point ◽  
Multiply Connected Domain ◽  
Navier Stokes Equations ◽  
Multiply Connected ◽  
Nonhomogeneous Boundary ◽  
Stationary Navier Stokes Equations

The nonhomogeneous boundary value problem for the stationary NavierStokes equations in 2D symmetric multiply connected domain with a cusp point on the boundary is studied. It is assumed that there is a source or sink in the cusp point. A symmetric solenoidal extension of the boundary value satisfying the LerayHopf inequality is constructed. Using this extension, the nonhomogeneous boundary value problem is reduced to homogeneous one and the existence of at least one weak symmetric solution is proved. No restrictions are assumed on the size of fluxes of the boundary value.

scholarly journals Stationary Navier–Stokes equations with non-homogeneous boundary condition in a system of two connected layers

2012 ◽  
Vol 53 ◽  
Author(s):  
Kristina Kaulakytė
Keyword(s):  
Boundary Condition ◽  
Boundary Problem ◽  
Stokes System ◽  
Stokes Equations ◽  
Boundary Value ◽  
Homogeneous Boundary Condition ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Stationary Navier Stokes Equations

In this paper the stationary Navier–Stokes system with non-homogeneous boundary condition is studied in domain which consists of two connected layers. The extension of the boundary value, which reduces the non-homogeneous boundary problem to the homogeneous one, is constructed in this paper.

Fluid Dynamics of the Elliptic Porous Slider

1978 ◽  
Vol 45 (2) ◽  
pp. 435-436 ◽  
Author(s):  
L. T. Watson ◽  
T. Y. Li ◽  
C. Y. Wang
Keyword(s):  
Boundary Value Problem ◽  
Moving Objects ◽  
Stokes Equations ◽  
Boundary Value ◽  
Initial Approximation ◽  
Frictional Resistance ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Transformation Of Variables ◽  
Lift And Drag

Fluid cushioned porous sliders are useful in reducing the frictional resistance of moving objects. This paper studies the elliptic slider. After a transformation of variables, the Navier-Stokes equations reduce to a nonlinear two-point boundary-value problem. This boundary-value problem was solved by a homotopy-type method, which did not require a good initial approximation to the solution. The problem was solved for several Reynolds numbers and ellipse eccentricities. Lift and drag calculations show that an elliptic porous slider should be operated along the minor axis.

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