Deterministic and Stochastic PDE's

The research group Análisis Matemático Aplicado y Ecuaciones Diferenciales (AMAED) Research Group is pleased to announce "Deterministic and Stochastic PDE's" (DeSPDEs) Conference.

Partial differential equations (PDEs) describe most of the physical and chemical phenomena in nature. In that regards, it is not surprinsing that PDEs are also becoming increasingly popular among biologist in order to accurately portray different events. Most of the modern studies in partial differential equations focus on completely deterministic physical or biological systems. That is, on problems that, if they are well-posed, admit a unique solution emanating from each initial data. However, sometimes, the physical reality cannot be described in such a simple way and its study requires the presence of “random” forces that usually models the lack of knowledge that we have of a given situation. For instance, one may think on the problem of a floating body in the sea. Such a body is influenced by the wind and sea currents. However, the knowledge of precise wind directions and velocities may cause that the deterministic approach is flawed. In this case it may be more useful to consider a probabilistic approach where the wind is modelled as a random force. In this case, we would have to deal with stochastic PDEs. SPDEs are a relatively modern field with lots of possible applications and future developments that require new Mathematics.

This conference has several goals. On the one hand, the members of the AMAED group want to learn new mathematical ideas and techniques in mathematical analysis in its broader possible sense. The invited speakers are leaders in different branches of pure and applied analysis from who we have much to learn. On the other hand, the members of the AMAED group want to further disseminate our new mathematical results within the community.