Singularidades para as solu\c{c}\~{o}es das Equa\c{c}\~{o}es de Navier-Stokes and Euler e o Problema do Mil\^{e}nio
Analysis of PDEs
2025-09-10 v1
Abstract
The purpose of this note is to offer a birds-eye view on the history and the state-of-the-art in the research surrounding the Millenium Prize problem for the Navier-Stokes equations, the general problem of singularities in fluid dynamics and the corresponding problem for the Euler equations. This is the content of a plenary talk delivered at the 2024 Biannual meeting of the Brazilian Math Society by Helena Nussenzveig Lopes and it is written in portuguese.
Keywords
Cite
@article{arxiv.2509.07638,
title = {Singularidades para as solu\c{c}\~{o}es das Equa\c{c}\~{o}es de Navier-Stokes and Euler e o Problema do Mil\^{e}nio},
author = {Milton C. Lopes Filho and Helena J. Nussenzveig Lopes},
journal= {arXiv preprint arXiv:2509.07638},
year = {2025}
}
Comments
in Portuguese language. Notas de uma palestra plen\'{a}ria, ministrada na XI Bienal de Matem\'{a}tica, S\~{a}o Carlos, Julho 2024. Uma vers\~{a}o em ingl\^{e}s est\'{a} submetida aos Anais do congresso