Program

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Tuesday 19 March

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”

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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”

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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”

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10:10 – 11:00 Daniel Hurtado, PUC, “Multiscale modeling of lung tissue biomechanics”

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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”

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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”

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18:00 – 18:50 Duván Henao, PUC, “Debonding of a gel from a rigid substrate”

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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”

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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”

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10:10 – 11:00 Iván Rapaport, CMM/UChile, “The Congested Clique Model”

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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)