We consider the Navier-Stokes initial boundary value problem in exterior domains. We assume that the initial data belongs to L(n,) suitable subspace of L(n,) Lorentz space. We are able to prove on an interval (0,T) the existence of a unique regular solution, global in time for small data. The solution enjoys some new estimates and a new approach to the proof is exhibited.
Regular solutions to the Navier-Stokes equations with an initial data in L(3,∞)
MAREMONTI, Paolo
2017
Abstract
We consider the Navier-Stokes initial boundary value problem in exterior domains. We assume that the initial data belongs to L(n,) suitable subspace of L(n,) Lorentz space. We are able to prove on an interval (0,T) the existence of a unique regular solution, global in time for small data. The solution enjoys some new estimates and a new approach to the proof is exhibited.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
