Scholarship 23/07941-7 - Cosmologia, Equações diferenciais - BV FAPESP
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Global attractors in Horava-Lifshitz cosmologies.

Grant number: 23/07941-7
Support Opportunities:Scholarships in Brazil - Master
Start date: September 01, 2023
End date: February 25, 2026
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Analysis
Principal Investigator:Márcia Cristina Anderson Braz Federson
Grantee:Ester Beatriz de Souza dos Santos
Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
Associated research grant:20/14075-6 - Dynamical systems and their attractors under perturbations, AP.TEM
Associated scholarship(s):24/05580-0 - Global attractors in Horava-Lifshitz Cosmologies, BE.EP.MS

Abstract

This research project lies in the area of mathematical physics in whichwe use pure mathematical tools in order to investigate theoretical physical problems arising in general relativity. In particular, we desire to comprehend the asymptotic behavior of the Big Bang. For such, we use appropriate models cast in the form of Ordinary Differential Equations (ODEs) so that the theory of dynamical systems is able to infer properties of solutions of these equations.

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Scientific publications
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
LAPPICY, PHILLIPO; BEATRIZ, ESTER. An energy formula for fully nonlinear degenerate parabolic equations in one spatial dimension. MATHEMATISCHE ANNALEN, v. 389, n. 4, p. 23-pg., . (23/07941-7, 17/07882-0)