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On the maximum modulus theorem for the steady-state Navier-Stokes equations in Lipschitz bounded domains
No full textOn the Robin problem for Stokes and Navier-Stokes systems.
No full textThe Robin problem for Stokes and Navier–Stokes systems is considered in a Lipschitz domain with a compact boundary. By making use of the boundary layer potentials approach, it is proved that for Stokes system this problem admits a very weak solution under suitable assumptions on the boundary datum. A similar result is proved for the Navier–Stokes system, provided that the datum is "sufficiently small"
On the existence of vanishing at infinity symmetric solutions to the plane stationary exterior Navier-Stokes problem
No full text
On the exterior two-dimensional Dirichlet problem for elliptic equations
No full textSi dimostra che il problema di Dirichlet per un’equazione di tipo ellittica in un dominio esterno del piano ammette una soluzione se e solo se i dati al contorno e all’infinito soddisfano un’opportuna condizione di compatibilita
A note on the existence of solutions to the Oseen system in Lipschitz domains
No full textSi dimostra che il sistema di Oseen in un dominio esterno dello spazio ammette una soluzione nell’ipotesi che il dato al bordo sia di quadrato sommabile. Tale risultato si applica poi al problema nonlineare di Navier—Stokes
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