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

Antonio RussoGiulio 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 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.

Il Principio delle Velocità Virtuali

Remigio RussoGiulio Starita — 2008

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

Il Principio delle Velocità Virtuali fornisce una caratterizzazione delle configurazioni di equilibrio di un sistema meccanico soggetto a vincoli di mobilità e sotto l'azione di forze assegnate. La sua idea germinale risale ad Aristotele e si evolve nei secoli, grazie ai contributi di valenti scienziati medioevali e dei fondatori della moderna Meccanica, per giungere alla sua formulazione con Johann Bernoulli. Il Principio si impone definitivamente quando Joseph Louis Lagrange lo pone a fondamento...

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