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Tuesday 19 March |
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| 12:00 – 12:15 | Welcome and workshop format description |
| Topic: Non-Linear Analysis and its Applications: Homogenization, Material sciences, Inverse problems, Imaging, Calculus of variations and optimal design problems, Numerical experiences. | |
| 12:30 – 13:20 | Sergio Gutierrez, PUC, “Worst Case Optimal Design using Small Amplitude Homogenization” |
| 13:30 – 14:20 | Light Lunch |
| Topic: Non-Linear Analysis and its Applications (revisited) | |
| 14:30 – 15:20 | Silvia Gazzola, University of Bath, “Fast Iterative Regularization Methods” |
| 15:30 – 16.20 | Jaime Ortega, CMM/UChile, TBA |
| 16:30 – 17:00 | Coffee Break |
| Topic: Non-Linear Analysis and its Applications (revisited) | |
| 17:00 – 17:50 | Axel Osses, CMM/UChile, “A mathematical direct & inverse model for light-sheet microscopy” |
| 18:00 – 18:30 | Alejandro Maass – A prospective vision of the CMM |
| 18:45 – 19:30 | Cocktail |
Wednesday 20 March |
|
| 09:15 – 09:20 | Welcome |
| Topic: Interdisciplinary Mathematics and Modelling: PDEs, Multiscale modeling, Mathematical biology, Dynamical and stochastic systems, Wave propagation, Mathematical problems from natural sciences & engineering, Optimal design problems, Numerical experiences. | |
| 09:20 – 10:00 | Paul Milewski, Bath, “The Complex Dynamics of Faraday Pilot Waves: A Hydrodynamic Quantum Analogue” |
| 10:10 – 11:00 | Daniel Hurtado, PUC, “Multiscale modeling of lung tissue biomechanics” |
| 11:10 – 11:40 | Coffee Break |
| Topic: Interdisciplinary Mathematics and Modelling (revisited) | |
| 11:40 – 12:30 | Joaquín Fontbona, CMM/UChile, “Synchronization of stochastic mean field networks of Hodgkin–Huxley neurons with noisy channels” |
| 12:40 – 14:20 | Lunch |
| Topic: Interdisciplinary Mathematics and Modelling (revisited) | |
| 14:30 – 15:20 | Rajesh Mahadevan, UdeC, “An optimization problem related to the nematic equilibrium of liquid crystals” |
| 15:30 – 16:20 | Johannes Zimmer, University of Bath, “From fluctuations in particle systems to their scaling limits and applications” |
| 16:30 – 17:00 | Coffee Break |
| Topic: Applied Mathematics and its Interactions: Material sciences, Liquid crystals, Multiscale modelling with PDEs, Mathematical biology. | |
| 17:00 – 17:50 | Apala Majumdar, Bath, “Pattern Formation in Confined Nematic Liquid Crystals” |
| 18:00 – 18:50 | Duván Henao, PUC, “Debonding of a gel from a rigid substrate” |
| 19:00 – 19:50 | Patricio Cumsille, UBB, “Parameter estimation and mathematical modeling for the quantitative description of drug resistance in gastrointestinal stromal tumor metastasis to the liver” |
Thursday 21 March |
|
| 09:15 – 09:20 | Welcome |
| Topic: Applied Mathematics and its Interactions: Multiscale modelling with PDEs, Mathematical biology, Graph theory and its interaction with informatics, Inverse problems, Control theory. | |
| 09:20 – 10:00 | Rodrigo Lecaros, UTFSM, “An inverse problem for Moore–Gibson–Thompson equation arising in high intensity ultrasound” |
| 10:10 – 11:00 | Iván Rapaport, CMM/UChile, “The Congested Clique Model” |
| 11:10 – 11:40 | Coffee Break |
| 11:40 – 12:30 | – Paul Milewski and Bath’s guest team – Presentation of the Department of Mathematical Sciences – Workshop Conclusions (Both activities will hold in the CMM’s Meeting room) |