Miguel Ángel Alejo. Universidade Federal de Santa Catarina Stability of Mkdv Breathers and Numerical Results Sala de seminarios del Departamento de Ingeniería Matemática de la Universidad de Chile 5º piso, Beauchef 851, Edificio Norte a las 15:00 Hrs.
2016-01-13
André de Laire. U. Lille Global Well-Posedness for a Nonlocal Gross-Pitaevskii Equation With Nonzero Condition At Infinity Sala de seminarios del 5to piso del DIM a las 17:05 Hrs.
2016-01-13
Sylvain Ervedoza. U. Toulouse Local Exact Controllability for Compressible Navier-Stokes Equations Around Constant Trajectories Sala de seminarios del 5to piso del DIM a las 16:00 Hrs.
2015-10-19
Rémy Rodiac. P. Universidad Católica de Chile Ginzburg-Landau Type Problems With Prescribed Degrees on The Boundary Sala 5 Facultad de Matemáticas a las 16:00 Hrs.
2015-10-19
Yannick Sire. Johns Hopkins University Bounds on Eigenvalues on Riemannian Manifolds Sala 5 Facultad de Matemáticas UC a las 17:00 Hrs
2015-09-30
Paolo Caldiroli. Universitá Di Torino Isovolumetric and Isoperimetric Inequalities for a Class of Sala 1 de la Facultad de Matemáticas de la PUC a las 16:00 Hrs.
2015-09-30
Denis Bonhere. Université Libre de Bruxelles On The Higher Dimensional Extended Allen-Cahn Equation Sala 1 Facultad de Matemática PUC a las 17:00 Hrs.
2015-09-14
Rafael Benguria. Departamento de Física de la P. Universidad Católica de Chile The Brezis-Nirenberg Problem on S^n, in Spaces of Fractional Dimension Sala de seminarios del 5to piso del Departamento de Ingeniería de la Universidad de Chile
2015-08-24
Claudio Muñoz. (Dim-Cmm) Asymptotic Stability of Solitons of The High Dimensional Zakharov-Kuznetsov Equation Sala de Seminarios del Depto. de Ingeniería Matemático, 5to piso de Beauchef 851 - 16:00 Hrs.
2015-05-18
Weiwei Ao. Department of Mathematics, University of British Columbia, Vancouver Refined Finite-dimensional Reduction Method and Applications to Nonlinear Elliptic Equations Sala 1 de la Facultad de Matemáticas de la Universidad Católica - 16:50 Hrs. Abstract: I will talk the refined finite dimensional reduction method and its application to nonlinear elliptic equations. We use this refined reduction method to get optimal bound on the number of interior spike solutions of the singularly perturbed Neumann problem as well as the boundary spike solutions. I will also talk about the entire solutions for nonlinear schrodinger equations.
2015-05-18
Jun Yang. School of Mathematics and Statistics, Central China Normal University Vortex structures for maps from pseudo-Euclidean spaces Sala 1 de la Facultad de Matemáticas de la Universidad Católica -16:00 hrs. Abstract: For some geometric flows (such as wave map equations, Schrödinger flows) from pseudo-Euclidean spaces to a unit sphere contained in a three dimensional Euclidean space, we construct solutions with various vortex structures(vortex pairs, vortex circles and helices). The approaches base on the transformations associated with the symmetries of the nonlinear problems, which will lead to two dimensional elliptic problems with resolution theory given by the finite dimensional Lyapunov-Schmidt reduction method in nonlinear analysis.
2015-04-27
Disson Dos Prazeres. CMM Universidad de Chile The Hilbert´s Nineteenth Problem Sala de seminarios del Departamento de Ingeniería Matemática de la Universidad de Chile 5º piso, Beauchef 851, Edificio Norte 15:00 Hrs.
2015-04-27
Erwin Topp. Utfsm Large Solutions for Non Uniformly Elliptic Semilinear Equations Sala de seminarios del Departamento de Ingeniería Matemática de la Universidad de Chile 5º piso, Beauchef 851, Edificio Norte -16:15
2012-12-06
Martin Man-Chun Li. University of British Columbia Minimal surfaces with free boundary Sala 2 (Víctor Ochsenius) - Facultad de Matemáticas - 16:00 Hrs. Abstract: Abstract: Minimal surfaces have been a rich object of study in various fields of mathematics, including geometry, analysis and PDE. In this talk, I will describe a natural free boundary problem for minimal surfaces. After a brief survey on some classical results about minimal surfaces (and minimal submanifolds in general) with free boundary, I will describe some recent existence and regularity results for embedded solutions. I will also discuss a compactness result (joint work with A. Fraser) for the moduli space of embedded free boundary minimal surfaces in the unit ball, and its relation to the spectrum of the Dirichlet-to-Neumann operator.
2011-08-07
David Ruiz. Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de Granada Existence of solutions for the Toda System via variational methods Sala 3 (Sector Postgrado) Facultad de Matemáticas - 16:00 Hrs. Abstract: In this talk we study the existence of solutions of a Toda System on a compact surface. The bubbling behavior, as well as an analogue of the Moser-Trudinger inequality, have been given by Jost, Lin and Wang. However, apart from the trivial coercive cases, there is no much information on the existence of solutions. Our approach is variational, and we look for solutions as critical points of the associated energy functional. In order to do so, a detailed description of the low sublevels of the functional is needed. This is done by a convenient definition of center of mass and degree of concentration of a $L 1 $ function, together with an apropriate version of the Moser-Trudinger inequality. This is joint work with Andrea Malchiodi (SISSA, Italy).
"
2011-08-07
David Ruiz. Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de Granada Existence of solutions for the Toda System via variational methods Sala 3 (Sector Postgrado) Facultad de Matemáticas, 16:00 Hrs. Abstract: In this talk we study the existence of solutions of a Toda System on a compact surface. The bubbling behavior, as well as an analogue of the Moser-Trudinger inequality, have been given by Jost, Lin and Wang. However, apart from the trivial coercive cases, there is no much information on the existence of solutions. Our approach is variational, and we look for solutions as critical points of the associated energy functional. In order to do so, a detailed description of the low sublevels of the functional is needed. This is done by a convenient definition of center of mass and degree of concentration of a $L 1 $ function, together with an apropriate version of the Moser-Trudinger inequality. This is joint work with Andrea Malchiodi (SISSA, Italy).
"
2011-08-07
Duvan Henao Manrique. Pontificia Universidad Católica de Chile Isoperimetric inequalities and cavity interactions in nonlinear elasticity Sala 3 (Sector Postgrado) 17:00 Hrs Abstract: In this joint work with Sylvia Serfaty (LJLL, Univ. Paris VI) we consider the problem of cavitation in nonlinear elasticity, or the formation of macroscopic cavities in elastic materials from microscopic defects, when subjected to large tension at the boundary. The main goal is to determine the optimal locations where the body prefers the cavities to open, the preferred number of cavities, their optimal sizes, and their optimal shapes. To this aim it is necessary to analyze the elastic energy of an incompressible deformation creating multiple cavities, in a way that accounts for the interaction between the cavitation singularities. Based on the quantitative isoperimetric inequality, as well as on new explicit constructions of incompressible deformations creating cavities of different shapes and sizes, we provide energy estimates showing that, for certain loading conditions, there are only the following possibilities: - only one cavity is created, and if the loading is isotropic then it is created at the centre - multiple cavities are created, they are spherical, and the singularities are well separated - there are multiple cavities, but they act as a single spherical cavity, they are considerably distorted, and the distance between the cavitation singularities must be of the same order as the size of the initial defects contained in the domain. In the latter case, the formation of thin structures between the cavities is observed, reminiscent of the initiation of ductile fracture by void coalesence.