Minicourse: Dynamic of Planetary Systems

Professor: Carolina Charalambous (PUC Santiago of Chile)

2^nd, 4^th, 18^th, 23^rd April 2024

At 1:00 p.m. to 2:00 p.m. (Rio de Janeiro local time)

The link to register for this semester's mini-courses: 
https://docs.google.com/forms/d/e/1FAIpQLSco6Wly2GfzmOia5wXlo2o_5eJ5925IrlZQkgdV90dMGqpIYw/viewform

Online Transmission: 
https://us02web.zoom.us/j/84535758212?pwd=N3NjR0psZzJLa2pNMDlubWIvRUV0UT09

Meeting ID: 845 3575 8212    -    Passcode: 296165

Abstract: In this minicourse we will delve into the intersection of dynamics and astrophysics, elcudating the instrumental role dynamics plays in resolving diverse astrophysical problems. Beginning with a general overview of the Solar System and understanding how planet form, we will cover general problems observed in extrasolar systems as consequence of their dynamic evolution. We will focus on resonant systems and how these specific configurations might help us understand the origins of planetary systems. The course will be divided into the "chronological" phases of planet formation: early stages when there was still gas in the propoplanetary disk, and for the long term evolution we will analyse the dissipative effects that the star produces on the planets as well as the interactions between the planets themselves. The goal is to have some basic techniques of solar system dynamics together with their application to actual problems, and have some analytical and numerical tools.

O COLMEA - Colóquio Interinstitucional Modelos Estocásticos e Aplicações - Dia 03 de abril de 2024, a partir das 14:00h, no IM-UFRJ, Sala C-116.

Programa:
 
14:00 - 15:20  Renata Libonati (IGEO-UFRJ) - Eventos compostos Secas-Ondas de Calor-Incêndios: Estamos preparados?

15:40 - 17:00  Kelly C. Mota Gonçalves (IM-UFRJ) - Mapeamento de indicadores usando estimação em pequenos domínios.

17:00 - 18:00   Discussão e lanche

Local: Sala C-116

Informações mais completas sobre o COLMEA podem ser encontradas AQUI!

Participe do JICIM - Jornada de iniciação cientifica no Instituto de Matemática da UFRJ

Data: 08 á 11 de Abril, às 12:00h

Confira as informações AQUI.

Whispering-gallery type eigenfunctions of the Laplacian

January 05, at 03:15 p.m. (Rio de Janeiro local time)

Local: Room C116 - Bloco C - CT – Instituto de Matemática – UFRJ.

Online Transmission: https://youtube.com/live/ed74-MknUog

Speaker: Sergey Sergeev (PUC-RJ)

Abstract: Maybe, someone encountered the situation when one person stands near the wall of the building and whispers something. And another person can hear him only if he stands also near the wall, but not in the center. This is called a Whispering Gallery and the sound waves propagate along the wall. The most famous example of the Whispering Gallery is the St. Paul Cathedral in London, but such an effect appears in different situations when we discuss the wave propagation. From the mathematical point of view the description of this effect is reduced to the studying of the special part of the spectrum of the Laplacian in some bounded area, which corresponds to the high-frequency waves. The eigenfunctions will be localized near the boundary and will represent the Whispering-Gallery type waves. In the present talk we will discuss the asymptotic (for the high frequencies) approach for the construction of such eigenfunctions and eigenvalues of the Laplacian. We will give a description of localized eigenfunctions for any 2D area which is bounded by smooth and convex boundary.