## New developments in the study of the elasticity equation for the analysis of inverse problems applied in Geoscience.

Abstract: This talk presents the analysis of an elasticity equation with interface conditions as a way to understand the formation of subduction earthquakes and how it is possible to determine geophysical characteristics of some tectonic plates from surface measurements. First, two different numerical methods based on finite elements are analyzed to solve the forward problem by comparing their algorithmic complexity and some properties necessary to solve an inverse problem. Then, the inverse problem of recovering the coseismic slip (one of the interface conditions) from surface measurements...

Read More## A journey through discourses and practices.

Summary: Our experiencing and, thus, our practices are co-enabled by entwined fields of knowledge, fields of power and forms of subjectivity. Through the articulation of different research pieces, and one protagonist, in this SIPo session we will tackle the following question: how free are we? Our protagonist is a student enrolled in Chile’s Secondary Technical VocationalEducation and Training (S-TVET) system. All research pieces used to drive then narrative of the presentation are the result of a postdoctoral research endeavor. These include research articles published in indexed...

Read More## Hunting transient astrophysical events with the ALeRCE community broker.

Summary: The Automatic Learning for the Rapid Classification of Events (ALeRCE) is a Chilean-led astronomical alert broker, and one of the seven brokers selected to receive the full alert stream from the Rubin Observatory. Since 2019 ALeRCE has been ingesting the public stream from the Zwicky Transient Facility, which contains hundreds of thousands of alerts per night, providing classifications and visualization for the astronomical objects detected. In this talk I describe the ALeRCE project and its different science cases, showing how it has enabled the follow-up and study of young...

Read More## Modeling Population Dynamics with PDEs? SIPodemos!

Summary: In this talk, I will present some facets of the best known equation in reaction-diffusion, which is called the Fisher KPP equation. I will explain where it comes from and what kind of results are interesting for mathematicians. Nobody needs knowledge in PDEs, the only thing to know is what is a Laplacian in R^d, or partial derivatives of order 2.

Read MoreSummary: In this talk, we will briefly introduce the nonlinear elasticity equations to understand the language of large deformations modeling. After this, we will focus on the much less studied “Inverse Elasticity Problem”, whose solution is sometimes referred to as the reference configuration, or stress-free configuration. This problem can be stated as follows: Given a set of known external forces and a *deformed* configuration, find an initial (or reference) configuration such that, when the given forces are applied to it, we recover the deformed configuration. As we will...

Read More## Generalized Quasi-Geostrophy for Moist Spatially Anisotropic Atmospheric Flows with Phase Changes.

Summary: Traditionally, the simulation of precipitating convection use a non-Boussinesq dynamical core such as the anelastic equations, and would incorporate water substance in all of its phases: vapour (cloud and rain), liquid and ice. Furthermore, the liquid water phase would be separated into cloud water (small droplets suspended in air) and rain water (larger droplets that fall). Depending on environmental conditions, the moist convection may organize itself on multiple length and time scales. One of the minimal representations of water substance and dynamics that still reproduces the...

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