1st PUC-Bath workshop on

Nonlinear PDEs and Applications

September 10-13, 2019

WORKSHOP

The 1st PUC-Bath Workshop on Nonlinear PDEs and Applications will be held at the Mathematics Department of Pontificia Catolica Universidad de Chile, on the dates of 10-13 of September, 2019. This event is intended to strengthen the scientific links between the Chilean Nonlinear PDE and, more widely, the Applied Mathematics community, and our colleagues from the University of Bath.

The Workshop is jointly organized by the Pontificia Catolica Universidad de Chile and University of Bath (UK), and will gather researchers from the fields of
"Nonlinear PDEs for Modelling and Applications",

including

  • Materials Science and Liquid Crystals
  • Homogenisation and Multiscale Analysis
  • Numerical Analysis and Scientific Computing

Organizing comittee:

  • Nikola Kamburov, Mathematics, PUC Chile
  • Apala Majumdar, Mathematics, University of Bath
  • Mircea Petrache, Mathematics, PUC Chile
  • Elwin van't Wout, Mathematical and Computational Engineering, PUC Chile

This conference is funded by PUC (lead Mircea Petrache) and a Bath internationalization grant led by Apala Majumdar.

Location


SPEAKERS

Chris Budd

Chris Budd

Professor

University of Bath
Department of Mathematical Sciences
C.J.Budd@bath.ac.uk

Kirill Cherednichenko

Kirill Cherednichenko

Professor

University of Bath
Department of Mathematical Sciences
kc525@bath.ac.uk

Carlos Conca

Carlos Conca

Profesor Titular

Universidad de Chile / CMM
Facultad de Matemática
cconca@dim.uchile.cl

Carmen Cortazar

Carmen Cortazar

Profesor Titular Adjunto

Pontificia Universidad Católica de Chile
Departamento de Matemática
ccortaza@mat.puc.cl

Chulkwang Kwak

Chulkwang Kwak

Post-doc

Pontificia Universidad Católica de Chile
Facultad de Matemática
chkwak@mat.uc.cl

Ignacio Guerra

Ignacio Guerra

Associate Professor

Universidad Santiago de Chile
Departamento de Matemática
ignacio.guerra@usach.cl

Johannes Zimmer

Duvan Henao

Profesor Asociado

Pontificia Universidad Católica de Chile
Facultad de Matemática
dhenao@mat.puc.cl

MacEachern, Steve

Apala Majumdar

Professor

University of Bath
Department of Mathematical Sciences
A.Majumdar@bath.ac.uk

Paul Milewski

Paul Milewski

Professor

University of Bath
Department of Mathematical Sciences - Head of Department
p.a.milewski@bath.ac.uk

Alberto Montero

Alberto Montero

Profesor Asistente

Pontificia Universidad Católica de Chile
Departamento de Matemática
amontero@mat.uc.cl

Carlos Pérez

Carlos Pérez

Profesor Asistente

Pontificia Universidad Católica de Chile
Instituto de Ingeniería Matemática y Computacional
caperez3@ing.puc.cl

Alexander Quaas

Alexander Quaas

Full Professor

Universidad Técnica Fedederico Santa María
alexander.quaas@usm.cl

Carlos Roman

Carlos Roman

Profesor Asistente

Pontificia Universidad Católica de Chile
Facultad de Matemática
c.roman.parra@gmail.com

Manuel Sánchez

Manuel Sánchez

Profesor Asistente

Pontificia Universidad Católica de Chile
Instituto de Ingeniería Matemática y Computacional
manuel.sanchez@ing.puc.cl

Johannes Zimmer

Johannes Zimmer

Professor

University of Bath
Department of Mathematical Sciences

Enrique Otarola

Enrique Otarola

Assistant Professor

Universidad Tecnica Federico Santa Maria
Department of Mathematics
enrique.otarola@usm.cl

Luciano Sciaraffia

Masters Student in Mathematics

Pontificia Universidad Católica de Chile
lvsciaraffia@mat.uc.cl

Natham Aguirre

Doctoral Student in Mathematics

Pontificia Universidad Católica de Chile
nmaguirre@mat.uc.cl


BOOK OF ABSTRACTS

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PROGRAMME

Tuesday, Sep 10th:
13:00 - 13:30 Registration
13:30 - 14:20 Duvan Henao
Existence of equilibria for 3D neo-Hookean materials
14:30 - 15:20 Kirill Cherednichenko
Non-standard behaviour of bent periodic plates for subcritical thickness-period scalings

15:20 - 16:00 Coffee Break
16:00 - 16:50 Carlos Roman
On the 3D Ginzburg-Landau model of superconductivity
Wednesday, Sep 11th
9:30-10:20 Paul Milewski
The complex dynamics of Faraday pilot waves: a hydrodynamic quantum analogue
10:20-10:50 Coffee Break
10:50-11:40 Carlos Conca
How Bloch waves can understand Hashim-Shtrikman microstructures
11:50-12:40 Alexander Quaas
The sharp exponent in the study of the nonlocal Henon equation in R^N. A Liouville theorem and an existence result
12:40-14:30 Lunch
14:30-15:20 Apala Majumdar
Pattern formation in confined nematic systems
15:30-16:30 Alberto Montero
Energy minimizing frame fields in R^3
16:30-18:00 Round Table (Centro de Innovacion, 3rd floor)
19:00 Workshop Dinner (Meson Nerudiano)
Thursday, Sep 12th
9:30-10:20 Enrique Otarola
Numerical methods for fractional diffusion
10:20-10:50 Coffee Break
10:50-11:40 Carlos Perez
Density interpolation methods
11:50-12:40 Manuel A. Sanchez
Symplectic Hybridizable discontinuous Galerkin methods for wave propagation problems
12:40-14:30 Lunch
14:30-15:20 Chris Budd
Self-similar, blow-up solutions of the Generalised Korteweg-de Vries equation near criticality
15:30-16:20 Carmen Cortazar
Large time behavior of solutions of the porous medium equation in exterior domains}
16:20-16:50 Coffee Break
16:50-17:40 Chulkwang Kwak
Descriptions of decay for Hamiltonian abcd Boussinesq system
Friday, Sep 13th
9:30-10:00 Luciano Sciaraffia
Nontrivial solutions to Serrin's problem in annular domains
10:00-10:30 Natham Aguirre
p-Harmonic functions with nonlinear Neumann boundary conditions and measure data
10:30-10:50 Coffee Break
10:50-11:40 Ignacio Guerra
Multiplicity of solutions for some elliptic equations with a gradient term in the nonlinearity
11:50-12:40 Johannes Zimmer
On fluctuations in particle systems and their links to partial differential equations

APPLY TO PARTICIPATE

POSTER SESSION APPLICATION

We invite applications for Master and PhD students, for the poster session to be held at our conference. In order to apply, please send us

  • a short email explaining your motivation to participate
  • your CV
  • your poster title and abstract

at the address pucbath@mat.uc.cl.


PRACTICAL INFORMATIONS

Auditorio Ninoslav Bralic

Faculty of Mathematics
Pontificia Universidad Católica de Chile
UC Campus San Joaquin
Vicuña Mackenna 4860, Macul
Santiago, Chile
+56 22 354 4558

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