Certain spaces of solenoidal vectors and the solvability of the boundary problem for the Navier-Stokes system of equations in domains with noncompact boundaries

1986 ◽  
Vol 34 (6) ◽  
pp. 2101-2111 ◽  
Author(s):  
V. A. Solonnikov ◽  
K. I. Piletskas
2012 ◽  
Vol 53 ◽  
Author(s):  
Kristina Kaulakytė

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.


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