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On measure-valued solutions of hydrodynamic models

Grant number: 19/05841-0
Support type:Scholarships in Brazil - Master
Effective date (Start): June 01, 2019
Effective date (End): February 28, 2021
Field of knowledge:Physical Sciences and Mathematics - Mathematics
Principal Investigator:Anne Caroline Bronzi
Grantee:Leonardo Epiphanio Galvão
Home Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
Associated scholarship(s):19/24356-5 - On measure-valued solutions of hydrodynamic models, BE.EP.MS

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 uniqueness theorem for the measure-valued solutions and to establish a relationship between weak solution sequences and measure-valued solutions for this system.