Anne Caroline Bronzi

• World Meeting for Women in Mathematics, AO.R
• SIAM Conference on Analysis of Partial Differential Equations, AR.EXT

• Abstract

  In this research project we propose the study of solutions of equations arising from the fluiddynamics from an analytical point-of-view, especially the Euler and Navier-Stokes equations. Some fundamental questions such as global existence and uniqueness of solution in some caseshave not yet been fully understood and the aim of this project is to enhance the understanding of such issues. I…

  Incompressible fluid dynamics equations, AP.R

• Abstract

  In this project is proposed the study of the measure-valued solutions of hydrodynamic models. After studying the main results already established for the incompressible Euler equations, the student will apply it to the development of a theory on measure-valued solutions for the incompressible Magnetohydrodynamic equations with planar symmetry. The main goals are to prove a weak-strong uni…

  On measure-valued solutions of hydrodynamic models, BP.MS

• Abstract

  In this research project we propose the study of the analytical properties of the solutions of equations arising from the incompressible fluid dynamics. Fundamental questions such as global existence and uniqueness of solution in some cases have not yet been answered and the purpose of this project is to advance on the understanding of such issues. We are interested in proving results of …

  On the global well-posedness of hydrodynamic models, BP.DR

• Abstract

  In this research project is proposed the study of the mathematical theory of the incompressible Navier-Stokes equations. At the end of this project the student will have learned about some of the main open problems in the area of fluid dynamics, as well as some of the classical methods from the theory of partial differential equations such as the Galerkin method.

  Introduction to the Navier-Stokes equations, BP.IC

(Only some records are available in English at this moment)

• Abstract

  Our primary goal in this project is the study of locally self-similar solutions for a class of generalized dissipative surface quasi-geostrophic equations where the global well-posedness is still an open problem. We aim to prove an exclusion result of the locally self-similar blowup scenario using similar techniques as we recently developed by Bronzi, Guimarães, Mondaini, for a special ca…

  On the self-similar blowup and existence of determining forms for fractionally dissipative fluids equations, BE.EP.DR