Leonardo Epiphanio Galvão in research grants and scholarships supported by FAPESP.
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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…
In this research project we propose the study of the singularity problem for incompressible flow in dimension three through the analysis of toy models that have analytical and/or geometric properties similar to the equations of interest. At the end of this project the student will have learned about the main open problems in the area of fluid dynamics, as well as some of the classical met…
In this research project we propose the study of Fourier Analysis and its applications to partial differential equations. This is a classical and central topic in Analysis, with applications in several areas.
| 3 / 3 | Completed scholarships in Brazil |
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