In this article, we study the uniqueness of very weak solutions to the Navier-Stokes Cauchy problem assuming that the solutions belong to $L^\infty((0,T)\times\mathbb R^n)$. We find sufficient conditions which allow to deduce uniqueness. By virtue of a counterexample, our conditions can be considered sharp.
A note on the uniqueness of bounded very weak solutions to the Navier-Stokes Cauchy problem
MAREMONTI, Paolo
2011
Abstract
In this article, we study the uniqueness of very weak solutions to the Navier-Stokes Cauchy problem assuming that the solutions belong to $L^\infty((0,T)\times\mathbb R^n)$. We find sufficient conditions which allow to deduce uniqueness. By virtue of a counterexample, our conditions can be considered sharp.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.
