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.
Seminarios SciCom de Computación Científica en el CMM
Cada jueves a las 17.00 horas, desde 5 de septiembre hasta el 5 de diciembre de 2013.
Simulation and inversion of resistivity and sonic logging measurements for the characterization of the Earth’s Subsurface
A number of 3D simulators of borehole logging measurements have been developed during the last two decades for oil-industry applications. These simulators have been successfully used to study and quantify different physical effects occurring in 3D geometries. Despite such recent advances, there are still many 3D effects for which reliable simulations are not available. Furthermore, in most of the existing results only partial validations have been reported, typically obtained by comparing solutions of simplified model problems against the...
Optimal control of the sweeping process over polyhedral controlled sets
The talk concerns a new class of optimal control problems governed by the dissipative non-Lipschitzian differential inclusion of the sweeping/Moreau process over a moving controlled polyhedral set. Using the method of discrete approximations and generalized differential tools of variational analysis, we derive necessary optimality conditions for this problem expressed in terms of the initial data of the moving convex polyhedron.
On intrinsic complexity of bilevel optimization
Abstract: We examine bilevel optimization from the parametric perspective. Observing the intrinsic complexity of bilevel optimization, we emphasize that it originates from unavoidable degeneracies occurring in parametric optimization. Under intrinsic complexity we understand the involved geometrical complexity of bilevel feasible sets, such as the appearance of kinks and boundary points, non-closedness, discontinuity and bifurcation e ects. By taking the study of singularities in parametric optimization into account, the structural analysis...
Bernstein’s theorem for fractional minimal surfaces
We discuss a geometric minimization problem arising in a fractional, nonlocal setting. We recall some regularity and rigidity results and we discuss the analogue of Bernstein’s theorem for this kind of minimal surfaces (i.e. whether minimal graphs are necessarily affine).
Asymptotics of a reaction-diffusion equation, driven by the fractional Laplacian
Inspired by some models arising in crystal dislocation, we consider an evolution equation driven by the fractional Laplacian with a small stress that is close to constant in space and time. We show that the solution, in the suitable space and time scale, may be seen as the superposition of a finite number of transition layers. Each transition is centered at a point that evolves by following the external stress and subject to a repulsive potential of fractional type.
“¿Qué hemos aprendido de la introducción sistemática de la resolución de problemas de final abierto en aulas de Enseñanza Básica?”
Resumen: En el proyecto bilateral Chile-Finlandia “Desarrollo de la comprensión matemática y del desempeño a través de la resolución de problemas de final abierto” se encuentra en su tercer y último año de ejecución. Las principales preguntas de investigación -aquellas que lo originaron- no se podrán responder hasta después de su cierre. Sin embargo se pueden reportar interesantes resultados parciales. Particularmente relevante resultan los testimonios de los profesores participantes acerca de los aprendizajes y cambios que ellos han...
Comparative genomics: form serendipity to reproducibility
Abstract: The compact genomes of the hemiascomycete yeasts provide an ideal terrain for eukaryote comparative genomics: in the 450 Mya since their divergence from a common ancestor they have adapted to a wide range of ecological conditions, using a wide range of evolutionary mechanisms, while maintaining a relatively conserved gene repertoire. For these reasons yeasts present a unique opportunity for developing bioinformatic tools for comparative genomics, and since they play a considerable role in biotechnological applications, predictions...
“Problemas de tiempo mínimo para la gestión de biorreactores”
Resumen: En esta charla mostraremos algunos de los resultados que hemos obtenidos en el modelamiento y gestión de biorreactores. En particular, analizaremos estrategias óptimas para el llenado en tiempo mínimo de un biorreactor secuencial por lotes cuando los microorganismos que lo componen compiten por un solo sustrato. Este tipo de situaciones típicamente se presenta en el tratamiento de aguas de empresas de pequeño y mediano tamaño. Este tipo de problemas se modela como un problema específico de control óptimo, el cual resolvemos con...
Control and numerical simulation in large time horizons
ABSTRACT: In this talk we present some aspects of our work in Partial Differential Equations, their control and numerical approximation focusing on topics relevant for the 2013 program of Mathematics of Planet Earth. One of the main distinguishing aspects of climate science is that evolving phenomena have to be understood in a long time horizon. In this lecture we shall analyze this issue from viewpoints. First of all, following a recent joint work with A. Porretta, we will address the problem of large time versus steady state control. The...
