On the existence of steady-state solutions to the Navier-Stokes system for large fluxes
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 5, Volume 7 (2008) no. 1, p. 171-180

In this paper we deal with the stationary Navier-Stokes problem in a domain Ω with compact Lipschitz boundary ∂Ω and datum a in Lebesgue spaces. We prove existence of a solution for arbitrary values of the fluxes through the connected components of ∂Ω, with possible countable exceptional set, provided a is the sum of the gradient of a harmonic function and a sufficiently small field, with zero total flux for Ω bounded.

Classification:  76D05,  31B10,  35Q30,  42B20 
@article{ASNSP_2008_5_7_1_171_0,
     author = {Russo, Antonio and Starita, Giulio},
     title = {On the existence of steady-state solutions to the Navier-Stokes system for large fluxes},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     publisher = {Scuola Normale Superiore, Pisa},
     volume = {Ser. 5, 7},
     number = {1},
     year = {2008},
     pages = {171-180},
     zbl = {1150.76015},
     mrnumber = {2413675},
     language = {en},
     url = {http://www.numdam.org/item/ASNSP_2008_5_7_1_171_0}
}

Russo, Antonio; Starita, Giulio. On the existence of steady-state solutions to the Navier-Stokes system for large fluxes. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 5, Volume 7 (2008) no. 1, pp. 171-180. http://www.numdam.org/item/ASNSP_2008_5_7_1_171_0/

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