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In this talk I will discuss the problem of approximations to the
Navier-Stokes equations producing solutions, which are
\textit{suitable} in the sense of Scheffer and
Caffarelli-Kohn-Nirenberg. This notion of solution is very relevant
for partial regularity results, but also the local behavior of energy
seems a natural request for numerical methods. I will present a
recent result obtained with S.~Spirito, showing that solutions
obtained by means of the Navier-Voigt model are suitable, even when
studied in a bounded domain, with Dirichlet boundary conditions. |
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