scholarly journals On asymptotic behavior of solutions of the Dirichlet problem in half-space for linear and quasi-linear elliptic equations

2003 ◽  
Vol 9 (11) ◽  
pp. 88-93 ◽  
Author(s):  
Vasily Denisov ◽  
Andrey Muravnik
Keyword(s):  
Asymptotic Behavior ◽  
Dirichlet Problem ◽  
Half Space ◽  
Elliptic Equations ◽  
Asymptotic Behavior Of Solutions

STEADY FLOWS OF A VISCOUS INCOMPRESSIBLE FLUID IN A POROUS HALF-SPACE

1994 ◽  
Vol 04 (05) ◽  
pp. 705-732 ◽  
Author(s):  
ARIANNA PASSERINI
Keyword(s):  
Asymptotic Behavior ◽  
Incompressible Fluid ◽  
Half Space ◽  
Viscous Incompressible Fluid ◽  
Steady Motion ◽  
Navier Stokes ◽  
Asymptotic Behavior Of Solutions ◽  
Steady Flows ◽  
Porous Half Space

In this paper we prove the existence and asymptotic behavior of solutions to the equations describing the steady motion of a viscous incompressible fluid in a porous half-space. The results are compared with those already known for the Navier-Stokes model and we find, in particular, that the behavior at large distances is strongly different depending on the value of the incoming flux through the boundary.

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