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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11591/228384
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