| Grant number: | 21/10769-6 |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| Start date: | February 01, 2022 |
| End date: | November 30, 2025 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Analysis |
| Principal Investigator: | Lucas Catão de Freitas Ferreira |
| Grantee: | Edison Fausto Cuba Huamani |
| Host Institution: | Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil |
| Associated scholarship(s): | 23/05762-8 - Existence of solutions for nonlocal and nonlinear problems, BE.EP.PD |
Abstract The purpose of this project is to study the theory of well-posedness for the Cauchy problem of the fractional radiative transfer equation for general data and also study the stability/asymptotic behavior of solutions for such partial differential equations (EDPs) of order $s\in(0,1)$. We discuss equations that serve as model for physical phenomena associated to wave propagation of high-frequency or "long-range" waves. Moreover, linked to those models, we also consider 1D non-local models with singular velocities and fractional dissipations, which can provide insights for models in higher dimensions. We intend to develop methods and results for our target-set of problems that can also be extended to other classes of nonlocal PDEs. | |
| News published in Agência FAPESP Newsletter about the scholarship: | |
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