Helena J. Nussenzveig Lopes

collaborators

3 papers

math.AP2025

Singularidades para as soluções das Equações de Navier-Stokes and Euler e o Problema do Milênio

Milton C. Lopes Filho, Helena J. Nussenzveig Lopes

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 equation…

math.AP2025

Absence of anomalous dissipation for vortex sheets

Tarek Elgindi, Milton Lopes Filho, Helena Nussenzveig Lopes

A family of solutions of the incompressible Navier-Stokes equations is said to present anomalous dissipation if energy dissipation due to viscosity does not vanish in the limit of…

math.AP2020

The limit $α \to 0$ of the $α$ -Euler equations in the half plane with no-slip boundary conditions and vortex sheet initial data

A. V. Busuioc, D. Iftimie, M. C. Lopes Filho +1

In this article we study the limit when $α \to 0$ of solutions to the $α$ -Euler system in the half-plane, with no-slip boundary conditions, to weak solutions of the 2D incompressibl…

Singularidades para as soluções das Equações de Navier-Stokes and Euler e o Problema do Milênio

Absence of anomalous dissipation for vortex sheets

The limit α→0 of the α-Euler equations in the half plane with no-slip boundary conditions and vortex sheet initial data

The limit $α \to 0$ of the $α$ -Euler equations in the half plane with no-slip boundary conditions and vortex sheet initial data