Recent Advances in PDE and Mathematical Physics (25w5419)

The Casa Matemática Oaxaca (CMO) will host the "Recent Advances in PDE and Mathematical Physics" workshop in Oaxaca, from August 3 to August 8, 2025.

The mathematical study of the dynamics of waves, such as, for example, behavior of the solutions near solitons, existence and scattering of solutions or singularity formation and blow-up of solutions, etc, is relevant from both mathematical and physical points of view. Mathematically, this is because such problems are still largely open and its study requires a deep understanding of the structure of the concrete model. On the other hand, a better understanding of these properties yields a better comprehension of the physical phenomena that is modeled by the studied differential equation. The aims of this workshop are to discuss recent progress in the study of the dynamics of relevant linear and nonlinear differential equations of mathematical-physics, to explore the connections between the different problems such as, for example, asymptotic stability and blow-up of solutions, to formulate the new challenges and to explore the applicability of the developed methods and results to other relevant models of mathematical-physics.

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's Advanced Education and Technology.