On measure-valued solutions of hydrodynamic models

• Grant number: 19/05841-0
• Support Opportunities: Scholarships in Brazil - Master
• Start date: June 01, 2019
• End date: February 28, 2021
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Anne Caroline Bronzi
• Grantee: Leonardo Epiphanio Galvão
• Host 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. (AU)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

GALVÃO, Leonardo Epiphanio. Soluções fracas e a valores de medidas para as equações de Euler e da magnetohidrodinâmica ideal. 2021. Master's Dissertation - Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica Campinas, SP.