36 citations · 75 across the 7 of their papers we have counts for
9 papers
On the convergence of trajectory statistical solutions
Anne C. Bronzi, Cecilia F. Mondaini, Ricardo M. S. Rosa
In this work, a recently introduced general framework for trajectory statistical solutions is considered, and the question of convergence of families of such solutions is addressed…
On the locally self-similar blowup for the generalized SQG equation
Anne Bronzi, Ricardo Guimarães, Cecilia Mondaini
We analyze finite-time blowup scenarios of locally self-similar type for the inviscid generalized surface quasi-geostrophic equation (gSQG) in . Under an growth…
Regularity of solutions to a class of variable-exponent fully nonlinear elliptic equations
Anne C. Bronzi, Edgard A. Pimentel, Giane C. Rampasso +1
In the present paper, we propose the investigation of variable-exponent, degenerate/singular elliptic equations in non-divergence form. This current endeavor parallels the by now w…
Abstract Framework for the Theory of Statistical Solutions
Anne C. Bronzi, Cecilia F. Mondaini, Ricardo M. S. Rosa
An abstract framework for the theory of statistical solutions is developed for general evolution equations, extending the theory initially developed for the three-dimensional incom…
Wild solutions for 2D incompressible ideal flow with passive tracer
Anne Bronzi, Milton Lopes Filho, Helena Nussenzveig Lopes
In Ann. Math., 170 (2009), 1417-1436, C. De Lellis and L. Székelyhidi Jr. constructed wild solutions of the incompressible Euler equations using a reformulation of the Euler equati…
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…
On the convergence of statistical solutions of the 3D Navier-Stokes- model as vanishes
Anne C. Bronzi, Ricardo M. S. Rosa
In this paper statistical solutions of the 3D Navier-Stokes- model with periodic boundary condition are considered. It is proved that under certain natural conditions statistica…