| 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. | |