Monday March 26, 2018
Sala de Seminarios Felipe Álvarez Daziano 5to piso del DIM
4.15 pm Timo Weidl (Institut für Analysis, Dynamik und Modellierung
Universität Stuttgart, Germany)

Title: The edge resonance in elastic media with zero Poisson coefficient

Abstract: A two-dimensional  elastic semistrip with stress-free boundary conditions and
zero Poisson coefficients has an embedded eigenvalue on top of the continuous spectrum.
This effect is known as edge resonance. For an infinite plate of finite thickness with a drilling
hole $(R^2\setminus\Omega)\times I$ actually infinitely many edge resonances will occur.
This is related to the spectral problem of perturbations of symbols with strongly degenerated
minima, which also appear in BCS theory. I give an overview on some of our results in this
area, which still poses a number of mathematical challenges.

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Monday April 2, 2018
Sala de Seminarios Felipe Álvarez Daziano 5to piso del DIM
4.15pm  Jorge Faya (UNAM, Mexico)
Title: TBA
Abstract: TBA
5.10pm  Carlos Román (Leipzig University & Max Planck Institute for Mathematics in the Sciences, Germany.)

Title: On the 3D Ginzburg-Landau model of superconductivity.

Abstract: The Ginzburg-Landau model is a phenomenological description of superconductivity. A crucial feature is the occurrence of vortices (similar to those in fluid mechanics, but quantized), which appear above a certain value of the applied magnetic field called the first critical field. We are interested in the regime of small ɛ, where ɛ>0 is the inverse of the Ginzburg-Landau parameter. In this regime, the vortices are at main order codimension 2 topological singularities.

In this talk I will present a quantitative 3D vortex approximation construction for the Ginzburg-Landau functional, which provides an approximation of vortex lines coupled to a lower bound for the energy, optimal to leading order, analogous to the 2D ones, and valid for the first time at the ɛ-level. I will then apply these results to describe the behavior of global minimizers for the 3D Ginzburg-Landau functional below and near the first critical field. I will also provide a quantitative product-type estimate for the study of Ginzburg-Landau dynamics.

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Monday April 16, 2018
Sala de Seminarios Felipe Álvarez Daziano 5to piso del DIM
4.15pm Maria Medina (PUC, Chile)
Title: TBA
Abstract: TBA
5.10pm Hanne Van Den Bosch (CMM, Chile)
Title: TBA
Abstract: TBA
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Monday May 7, 2018
Sala de Seminarios Felipe Álvarez Daziano 5to piso del DIM
4.15pm Mircea Petrache (PUC, Chile)
Title: TBA
Abstract: TBA
5.10pm  Amal Taarabt (PUC, Chile.)
Title: TBA
Abstract: TBA
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#### Past Seminars

“Longtime Behaviour of Nonlinear Waves”,  June 8-12, Bielefeld University, Bielefend, Germany. (Claudio Muñoz).

“Inverse Problems in the Physical Sciences”, August 3-5, Santiago, Chile. (Claudio Muñoz).

“II-Workshop in Nonlinear Dispersive Equations”, Octubre 6-9, Campinas, Sao Paulo, Brazil. (Claudio Muñoz).

“New challenges in PDE: Deterministic dynamics and randomness in high and infinite dimensional systems” October 19 – 30, MSRI, Berkeley, California, USA. (Claudio Muñoz).

“3rd Chile-Japan Workshop on Nonlinear PDEs”,  December 8 -11, Osaka University, Osaka, Japan. (Claudio Muñoz).

“Nonlinear elasticity and fractures”, June 23-24, Pontificia Universidad Católica de Chile, Santiago, Chile. (Duván Henao).

The 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications. July 1 – July 5, 2016, Orlando, Florida, USA. (C. Muñoz, F. Mahmoudi, I. Guerra).

“International Conference On Local and non local Partial Differential Equations”, April 24 – 26, New York University Shanghai, China. (Mónica Musso).

“Recent Trends and Geometric Analysis”, June 1-5, Marseille, France. (Mónica Musso).

TBA

#### Past Events

MathAmSud project EEQUADD (Nonlinear and Fractional Evolution EQUAtions: Dispersion, Dynamics, well-posedness and Functional Analytic tools)”, CMM, Universidad de Chile, December  4-7 , 2017.

First Belgium-Chile-Italy Conference en PDE’s”, Université Libre de Bruxelles, Belgium, November  13-17 , 2017.

Variational Models of Soft Matter”, Pontificia Universidad Católica de Chile, Santiago, 9-13 January 2017.

2nd. Workshop on Nonlinear Evolution Equations”,  Universidad Austral de Chile, Valdivia, December 12-16 2016.

Third Sino-Chilean Conference on Nonlinear Partial Differential Equations and Nonlinear Analysis, December 9-12 2016, Wuhan, China.

CAPDE School on Nonlinear Partial Differential Equations, September 28-October 5, 2016.

Conference on Nonlinear Elliptic PDEs at the End of the World, Universidad de Magallanes, Punta Arenas, Chile, March 2-6, 2015.

Third Chile Japan Workshop on Nonlinear PDEs, Osaka University, Japan. December 8-11, 2015