Gradient flows and their perturbations
in modeling, analysis, and geometry
05.–09.07.2027, Będlewo
05.–09.07.2027, Będlewo
The aim of the workshop is to gather experts who study phenomena that share the structure or feature of gradient flows. In particular, the question if a perturbation (resp. a limit) of a gradient flow (resp. flows) is still a gradient flow is a central one, together with the study of singularities and the identification of special solutions and their stability. Besides the mathematical theory, applications of gradient flows can be found to the modeling of physical phenomena and industrial processes.
This workshop aims to reflect the breadth of the current work related to theoretical foundations as well as applications to problems both motivated by physics and quite abstract, e.g., in differential geometry. We also want to include the modeling and computational aspects of the research.
We single out the following leading themes of the workshop:
1. Dissipative phenomena in continuum mechanics
2. Geometric flows.
3. Flows in measure spaces, metric random walk spaces, and similar.
4. Models exploiting Cahn–Hilliard type equations.
5. Free boundary problems, with a special emphasis on Stefan problems.