Noticias en español
Seminars appear in decreasing order in relation to date. To find an activity of your interest just go down on the list. Normally seminars are given in English. If not, they will be marked as Spanish Only.
The search of finite-time singularity solutions of the Euler equations for incompressible and inviscid fluids.
Abstract: Despite 250 years of history, the nature of solutions of the Euler equations remains an open problem. To date, it is not known if general smooth initial conditions of the Euler equations with finite energy do or do not blow-up in finite time. I will review the approach initiated by Leray of self-similar blow-up solutions. Lastly, I will show that under some conditions an axisymmetric incompressible and inviscid flow presents a finite-time singularity. This singularity appears to be generic and robust for a wide number of finite...
Sobre ecuaciones tipo Cummins y convertidores de energía de olas.
Abstract: En esta charla comenzaremos abordando algunas formulaciones recientes de las ecuaciones water-waves, para luego tomar ventaja de ellas y establecer algunos problemas de transmisión explícitos que describen interacciones fluido-estructuras. En una segunda parte estudiaremos el cómo bajo ciertas restricciones es posible obtener algunas generalizaciones de la ecuación de Cummins. Por último, mostraremos métodos con los cuales la comunidad que estudia la extracción de energía a partir de las olas del mar utiliza dichas ecuaciones...
The speed of invasion on an advancing population.
Abstract: We derive rigorous estimates on the speed of invasion of an advantageous trait in a spatially advancing population in the context of a system of one-dimensional coupled F-KPP equations. The model was introduced and studied heuristically and numerically in a paper by Venegas-Ortiz et al. In that paper, it was noted that the speed of invasion by the mutant trait is faster faster when the resident population ist expanding in space compared to the speed when the resident population is already present everywhere. We use probabilistic...
Avances y desafíos sobre el conocimiento especializado del profesor de estadística en el contexto de la Educación Básica.
RESUMEN El conocimiento especializado de los docentes que enseñan estadística en educación básica requiere de un modelo específico en la educación estadística. En esta presentación se muestran algunos resultados de una investigación cualitativa sobre el conocimiento especializado que manifiestan 192 docentes (muestra no-probabilística) como avance teórico que permitió precisar una propuesta de extensión del modelo de Conocimiento Especializado del Profesor de Matemática (MTSK) a la Estadística, rotulado como modelo STSK (i.e., Statistics...
Bianchi cosmologies with massless Vlasov matter.
Abstract: In this talk, I will give a short introduction to “mathematical cosmology” with a focus on the application of the kinetic theory in cosmology. As such, I will talk about Bianchi cosmologies, i.e., spatially homogeneous spacetimes that are governed by the Einstein equations which are coupled to massless collisionless (Vlasov) matter. Then, I will discuss their future attractors and show future stability of such models within Bianchi types I, II, and V symmetry class. The proof turns out to be more challenging compared to...
Los campos estrella en variedades de dimensión tres son multi-singular hiperbólicos.
RESUMEN: La coexistencia de singularidades y órbitas regulares en conjuntos transitivos por cadena ha sido un obstáculo importante para comprender la naturaleza hiperbólica de la dinámica robusta. Debido a que campos vectoriales sin singularidades con todas las órbitas periódicas fuertemente hiperbólicas (flujos estrella), son hiperbólicos, pero no lo son en general. Se dedicó mucho esfuerzo para comprender si se pueden caracterizar por alguna estructura hiperbólica más débil. De hecho, Bonatti y da Luz caracterizan un conjunto abierto y...
Integrability and the singular manifold method: a toolkit to determine soliton solutions.
Abstract: The Painlevé Property has proved to be a fruitful tool when it comes to identifying the integrability of nonlinear PDEs. The combination of this technique with the so-called singular manifold method offers an ideal framework to approach nonlinear integrable systems: it provides a systematic methodology to obtain the associated spectral problem, as well as a recursive procedure to determine soliton-like solutions. In this talk, we review the main characteristics of this setting, with applications on several examples related to...
Dominios Errantes Oscilantes en C_p
RESUMEN: Uno de los aportes más importantes de Benedetto en la dinámica no-Arquimediana, es la construcción de polinomios con dominios errantes (dominios no existentes en la dinámica racional compleja). En este trabajo reinventamos la técnica de Benedetto para construir dominios errantes no acotados, los cuales llamamos dominios errantes oscilantes.
Constant Rank Conditions for Second-Order Cone and Semidefinite Programming.
Abstract: In the context of the COVID-19, the development of methods to trace the spread of the virus is of vital importance. One of such methods relies on PCR testing of wastewater samples to locate sudden the appearance of infection. Given a representation of the wastewater network as a directed graph, we aim for a strategy that finds a new infected node using the worst-case minimum number of tests. This problem proves to be challenging on networks with uncertainty, as is the case of real-world data. We will explore the connection with...
Searching infected nodes in uncertain graphs.
Abstract: In the context of the COVID-19, the development of methods to trace the spread of the virus is of vital importance. One of such methods relies on PCR testing of wastewater samples to locate sudden the appearance of infection. Given a representation of the wastewater network as a directed graph, we aim for a strategy that finds a new infected node using the worst-case minimum number of tests. This problem proves to be challenging on networks with uncertainty, as is the case of real-world data. We will explore the connection with...
