Stable and unstable Dynamics in PDEs and Hamiltonian Systems (26w5551)

The Casa Matemática Oaxaca (CMO) will host the "Stable and unstable Dynamics in PDEs and Hamiltonian Systems" workshop in Oaxaca, from August 9 to August 14, 2026.

Mathematical models of natural phenomena are often formulated using partial differential equations (PDEs). Many natural classes of PDEs take the form of conservation laws or arise from the calculus of variations, where an action functional is optimized. These problems can often be framed as Hamiltonian systems, whether as finite-dimensional dynamical systems, as seen in classical mechanics, or as PDEs with infinitely many degrees of freedom. PDEs are widely used in diverse contexts, such as modeling the long-term evolution of temperature and wind patterns on Earth due to climate change. Over time, their solutions can represent various scenarios, exhibiting stationary structures, or periodic and quasi-periodic behaviors.

This workshop will highlight recent progress in analyzing these equations and related mathematical problems. It aims to foster productive interactions among specialists from different yet interconnected fields.

The Casa Matemática Oaxaca (CMO) in Mexico, 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. The research station in Oaxaca is funded by UNAM and IIMAS.