36 citations · 75 across the 7 of their papers we have counts for
3 papers · 2 filters
On the energy behavior of locally self-similar blowup for the Euler equation
Anne Bronzi, Roman Shvydkoy
In this note we study locally self-similar blow up for the Euler equation. The main result states that under a mild -growth assumption on the profile , namely, $\int_{|y| \…
Global existence of a weak solution of the incompressible Euler equations with helical symmetry and vorticity
Anne C. Bronzi, Milton C. Lopes Filho, Helena J. Nussenzveig Lopes
We prove the global existence of a helical weak solution of the 3D Euler equations, in full space, for an initial velocity with helical symmetry, without swirl and whose initial vo…
Trajectory Statistical Solutions for three-dimensional Navier-Stokes-like systems
Anne Bronzi, Cecilia Mondaini, Ricardo Rosa
A general framework for the theory of statistical solutions on trajectory spaces is constructed for a wide range of equations involving incompressible viscous flows. This framework…