In this paper we deal with the stationary Navier-Stokes problem in a domain with compact Lipschitz boundary and datum in Lebesgue spaces. We prove existence of a solution for arbitrary values of the fluxes through the connected components of , with possible countable exceptional set, provided is the sum of the gradient of a harmonic function and a sufficiently small field, with zero total flux for bounded.
@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},
pages = {171--180},
publisher = {Scuola Normale Superiore, Pisa},
volume = {Ser. 5, 7},
number = {1},
year = {2008},
mrnumber = {2413675},
zbl = {1150.76015},
language = {en},
url = {http://www.numdam.org/item/ASNSP_2008_5_7_1_171_0/}
}
TY - JOUR AU - Russo, Antonio AU - Starita, Giulio TI - On the existence of steady-state solutions to the Navier-Stokes system for large fluxes JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 2008 SP - 171 EP - 180 VL - 7 IS - 1 PB - Scuola Normale Superiore, Pisa UR - http://www.numdam.org/item/ASNSP_2008_5_7_1_171_0/ LA - en ID - ASNSP_2008_5_7_1_171_0 ER -
%0 Journal Article %A Russo, Antonio %A Starita, Giulio %T On the existence of steady-state solutions to the Navier-Stokes system for large fluxes %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 2008 %P 171-180 %V 7 %N 1 %I Scuola Normale Superiore, Pisa %U http://www.numdam.org/item/ASNSP_2008_5_7_1_171_0/ %G en %F 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, Série 5, Tome 7 (2008) no. 1, pp. 171-180. http://www.numdam.org/item/ASNSP_2008_5_7_1_171_0/
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