First Workshop on Singular Interactions and Effective Models in Mathematical Physics

The workshop is part of the activities of the PRIN project Singular Interactions and Effective Models in Mathematical Physics.

The unifying theme of the research project is the analysis of partial differential equations ruling relevant classical or quantum models in domains where spatial singularities can be present. Singularities can develop as a consequence of the dynamics (blow-up), or they can be present from the beginning in the domain where the model is set. In this second case singularities can describe spatial inhomogeneities of the propagation medium (described for example by point or delta interactions with various co-dimension or by quantum graphs) or they can serve as effective approximations (zero range models).