On the existence of steady-state solutions to the Navier-Stokes system for large fluxes

Antonio Russo; Giulio Starita

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (2008)

  • Volume: 7, Issue: 1, page 171-180
  • ISSN: 0391-173X

Abstract

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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.

How to cite

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Russo, Antonio, and 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 7.1 (2008): 171-180. <http://eudml.org/doc/272294>.

@article{Russo2008,
abstract = {In this paper we deal with the stationary Navier-Stokes problem in a domain $\Omega $ with compact Lipschitz boundary $\partial \Omega $ and datum $a$ in Lebesgue spaces. We prove existence of a solution for arbitrary values of the fluxes through the connected components of $\partial \Omega $, 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 $\Omega $ bounded.},
author = {Russo, Antonio, Starita, Giulio},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
language = {eng},
number = {1},
pages = {171-180},
publisher = {Scuola Normale Superiore, Pisa},
title = {On the existence of steady-state solutions to the Navier-Stokes system for large fluxes},
url = {http://eudml.org/doc/272294},
volume = {7},
year = {2008},
}

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
PB - Scuola Normale Superiore, Pisa
VL - 7
IS - 1
SP - 171
EP - 180
AB - In this paper we deal with the stationary Navier-Stokes problem in a domain $\Omega $ with compact Lipschitz boundary $\partial \Omega $ and datum $a$ in Lebesgue spaces. We prove existence of a solution for arbitrary values of the fluxes through the connected components of $\partial \Omega $, 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 $\Omega $ bounded.
LA - eng
UR - http://eudml.org/doc/272294
ER -

References

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