Event Details
May 11 to May 16, 2025
The Institute of Mathematics at the University of Granada will host the "Singularities and Asymptotic Patterns in Fluids and Evolutionary PDEs" workshop at the University of Granada (IMAG) in Spain, from May 11 - 16, 2025. Mathematical models for natural phenomena are typically expressed as evolutionary nonlinear partial differential equations (PDEs). Of particular interest is the analysis of asymptotic patterns or singular limits. This pertains to the existence of regions with high concentration for the quantity represented by the solution of a given PDE. Such concentration can be triggered by either an explicit or hidden parameter within the model, which approaches a critical limiting value, or by the progression of time towards infinity, or an instance when a form of blow-up occurs. In recent years, significant advancements have been made in this field, particularly concerning PDEs in fluids, geometric analysis, and reaction-diffusion equations. The purpose of this workshop is to showcase some of these recent developments and examine technical similarities across these subfields. More precisely, the following topics will be discussed at the workshop: - Singularity and small-scale formations in incompressible fluids - Implosion and shock in compressible fluids - Singularity formation in geometric flows - Singularity formation and asymptotic patterns in chemotaxis - Long-time asymptotics of evolutionary PDEs The Institute of Mathematics at the University of Granada(IMAG) in Granada, Spain, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, are collaborative Canada-US-Mexico ventures that provide an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station in Banff is supported by Canada’s Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), and Alberta Technology and Innovation.More information can be found on the BIRS website
Schedule
The schedule of this workshop can be found here: SCHEDULE of THIS WORKSHOPOrganizers
- Manuel del Pino (University of Bath)
- Antonio J. Fernández (Universidad Autónoma de Madrid)
- Yao Yao (National University of Singapore)
Participants
| Manuel del Pino | University of Bath |
| Antonio J. Fernández | Universidad Autónoma de Madrid |
| Yao Yao | National University of Singapore |
| Tobias Barker | University of Bath |
| Matteo Bonforte | Universidad Autonoma de Madrid and ICMAT |
| Jose Carrillo | University of Oxford |
| Angel Castro | icmat |
| Charles Collot | CY Cergy Paris Université |
| Diego Cordoba | Instituto de Ciencias Matematicas-CSIC |
| Panagiota Daskalopoulos | Columbia University |
| Juan Davila | University of Bath |
| Alberto Enciso | Instituto de Ciencias Matemáticas, Madrid |
| Rupert Frank | LMU Munich |
| Francisco Gancedo | Universidad de Sevilla |
| Claudia Garcia | Universidad de Granada |
| Tej Eddine Ghoul | New York university Abu Dhabi |
| Javier Gomez-Serrano | Brown University |
| Zineb Hassaina | New York university Abu Dhabi |
| Juhi Jang | University of Southern California |
| In-Jee Jeong | Seoul National University |
| Rowan Juneman | University of Bath |
| John King | University of Nottingham |
| Alexander Kiselev | Duke University |
| Andrés Laín Sanclemente | ICMAT |
| José Antonio Lucas Manchon | ICMAT |
| Paula Luna Velasco | Universidad de Sevilla/Universidad de Granada |
| Nader Masmoudi | New York University |
| David Meyer | ICMAT |
| Monica Musso | University of Bath |
| Claudio Muñoz | University of Chile |
| Shrish Parmeshwar | CY Cergy Paris Université |
| Pavol Quittner | Comenius University |
| David Ruiz | IMAG, University of Granada |
| Felix Schulze | University of Warwick |
| Jakub Skrzeczkowski | University of Oxford |
| Marcos Solera | Universitat de València |
| Juan Luis Vazquez | Universidad Autonoma de Madrid |
| Bruno Volzone | Politecnico di Milano |
| Lu Wang | Yale University |
| Aneta Wróblewska-Kamińska | Institute of Mathematics, Polish Academy of Sciences |
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