The main purpose of this paper is to show that in a three-dimensional exterior Lipschitz domain (Formula presented.) the stationary Navier–Stokes equations have a solution which converges at infinity to a constant vector and assumes a boundary value (Formula presented.) (or (Formula presented.) if Omega is of class (Formula presented.)), provided (Formula presented.). Moreover, for large value of the viscosity u we prove existence, uniqueness and asymptotics of a solution (Formula presented.) for Omega and a polar symmetric.
On the stationary Navier–Stokes problem in 3D exterior domains
Coscia VincenzoPrimo
;
2020
Abstract
The main purpose of this paper is to show that in a three-dimensional exterior Lipschitz domain (Formula presented.) the stationary Navier–Stokes equations have a solution which converges at infinity to a constant vector and assumes a boundary value (Formula presented.) (or (Formula presented.) if Omega is of class (Formula presented.)), provided (Formula presented.). Moreover, for large value of the viscosity u we prove existence, uniqueness and asymptotics of a solution (Formula presented.) for Omega and a polar symmetric.File in questo prodotto:
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Coscia V., Russo R., Tartaglione A., On the stationary Navier Stokes problem in 3D exterior domains (2018).pdf
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