{"id":11,"date":"2024-08-07T22:58:30","date_gmt":"2024-08-07T20:58:30","guid":{"rendered":"https:\/\/eventos.cmm.uchile.cl\/panda-2024\/?page_id=11"},"modified":"2025-12-04T16:25:46","modified_gmt":"2025-12-04T19:25:46","slug":"program","status":"publish","type":"page","link":"https:\/\/eventos.cmm.uchile.cl\/panda2025\/program\/","title":{"rendered":"Program"},"content":{"rendered":"\n\n\n\n\n\n\n\n\n\n\n\n\n\n
Hour<\/strong><\/td>\n\u00a0Tuesday<\/strong><\/td>\n<\/tr>\n<\/thead>\n
9:00-9:45<\/td>\nRafael Granero<\/span><\/td>\n<\/tr>\n
Coffee Break<\/strong><\/td>\n<\/tr>\n
10:15-11:00<\/td>\nRaimund B\u00fcrger<\/span><\/td>\n<\/tr>\n
11:05-13:00<\/td>\n Conexi\u00f3n – 2025 Ramanujan Prize Ceremony<\/td>\n<\/tr>\n
Lunch<\/strong><\/td>\n<\/tr>\n
14:30-15:15<\/td>\nAndr\u00e9 de Laire<\/td>\n<\/tr>\n
Coffee Break<\/strong><\/td>\n<\/tr>\n
15:45-16:30<\/td>\n Jessica Trespalacios<\/td>\n<\/tr>\n
16:45-17:30<\/td>\nSebasti\u00e1n Tapia<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n

9:00 – Rafael Granero-Belinch\u00f3n<\/a> (U. Cantabria)<\/strong><\/h3>\n

On some PDE modelling nonlinear waves<\/strong><\/h4>\n

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In this talk we will present some new PDEs modelling nonlinear waves. These models take the form of nonlinear and nonlocal differential equations. Furthermore, we will also present some mathematical results for these equations.<\/span><\/p>\n

 
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9:45 – Caf\u00e9<\/strong><\/h3>\n

 
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10:15 – Raimund B\u00fcrger<\/a> (U. de Concepci\u00f3n)<\/strong><\/h3>\n

A multilayer shallow water model for tsunamis and coastal forest
\ninteraction<\/strong><\/h4>\n

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Models and numerical methods of the impact of tsunamis on coastal forests are of vital importance for exploring the potential of coastal vegetation as a means of mitigation. Such a model is formulated as a multilayer shallow water system based on a free-surface formulation of the Euler equations for an ideal fluid. Specifically, the Euler equations are approximated by a layer averaged non-hydrostatic (LDNH) approach involving linear pressures and piecewise constant velocities. Furthermore, based on [Iimura and Tanaka, Ocean Eng. 54 (2012) 223\u2013232] drag forces, inertia forces, and porosity are added to model the interaction with the forest. These ingredients are specified in a layer-wise manner. Thus, the vertical features of the forest are described with higher accuracy than within a single-layer approach. Projection methods for the non-hydrostatic pressure in conjunction with polynomial viscosity matrix finite volume methods [Castro and Fern\u00e1ndez-Nieto, SIAM J. Sci. Comput. 34 (2012) A2173\u2013A2196] are employed for the numerical solution of the multilayer model, that is for the propagation of tsunamis and coastal flooding. Experimental observations and field data are used to validate the model. In general good agreement is obtained. Work in progress addresses the extension of the model and its numerical approximation to two horizontal space dimensions.<\/p>\n

This presentation is based on joint research with Enrique Fern\u00e1ndez-Nieto (Universidad de Sevilla, Spain) and Jorge Moya (Universidad de Concepci\u00f3n).<\/span><\/p>\n

 
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11:05 – Conexi\u00f3n – 2025 Ramanujan Prize Ceremony –