Display Abstract

Title On the construction of suitable Weak Solutions

Name Luigi C Berselli
Country Italy
Email berselli@dma.unipi.it
Co-Author(s)
Submit Time 2014-01-08 05:54:56
Session
Special Session 1: Mathematical aspects of fluid dynamics
Contents
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.