scholarly journals On the regular solutions for some classes of Navier-Stokes equations

1988 ◽  
Vol 9 (1) ◽  
pp. 77-101
Author(s):  
Y. Ebihara ◽  
L.A. Medeiros
Author(s):  
Weiping Yan ◽  
Vicenţiu D. Rădulescu

Abstract In this paper, we consider the steady incompressible Navier–Stokes equations in a smooth bounded domain $$\Omega \subset \mathbb R^n$$ Ω ⊂ R n with the dimension $$n\ge 3$$ n ≥ 3 . We first establish asymptotic expansion formulae of Sobolev regular finite energy solutions in $$\Omega$$ Ω . In the second part of this paper, explicit representation formulae of Sobolev regular solutions are showed in the regular polyhedron $$\Omega :=[0,T]^n$$ Ω : = [ 0 , T ] n .


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