Geodesic
Solutions of the stationary Navier–Stokes system of equations with an infinite Dirichlet integral
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 14, Tome 115 (1982), pp. 251-263 
V. A. Solonnikov. Solutions of the stationary Navier–Stokes system of equations with an infinite Dirichlet integral. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 14, Tome 115 (1982), pp. 251-263. http://geodesic.mathdoc.fr/item/ZNSL_1982_115_a20/
@article{ZNSL_1982_115_a20,
     author = {V. A. Solonnikov},
     title = {Solutions of the stationary {Navier{\textendash}Stokes} system of equations with an infinite {Dirichlet} integral},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {251--263},
     year = {1982},
     volume = {115},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1982_115_a20/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

In unbounded domains $\Omega$ of the three-dimensional Euclidean space, having several exits $\Omega_i$ at infinity of a sufficiently general form, one finds the solution $\vec v(x)$ of the stationary Navier–Stokes system, equal to zero on the boundary of the domain $\Omega,$ having arbitrary flow rates $\alpha_i$ through each exit $\Omega_i$, $i=1,\dots,m$ ($\sum_{i=1}^m\alpha_i=0$), and having an unbounded Dirichlet integral $\int_\Omega|\vec v_x|^2\,dx=+\infty$. One gives sufficient conditions for the existence of a solution.