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Il problema stazionario di Navier-Stokes in domini bidimensionali

Antonio Russo — 2010

La Matematica nella Società e nella Cultura. Rivista dell'Unione Matematica Italiana

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

Antonio Russo; Giulio Starita — 2008

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

In this paper we deal with the stationary Navier-Stokes problem in a domain $Ω$ with compact Lipschitz boundary $\partial Ω$ and datum $a$ in Lebesgue spaces. We prove existence of a solution for arbitrary values of the fluxes through the connected components of $\partial Ω$ , 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.

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