The field of the mathematical and numerical analysis of systems of nonlinear partial differential equations involving interfaces and free boundaries is a well established and flourishing area of research. This workshop focused on recent developments and emerging new themes. By bringing together experts in these fields we achieved progress in open questions and developed novel research directions in mathematics related to interfaces and free boundaries. This interdisciplinary workshop brought together researchers from distinct mathematical fields such as analysis, computation, optimisation and modelling to discuss emerging challenges.
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Charles M. Elliott, Yoshikazu Giga, Michael Hinze, Vanessa Styles, Emerging Developments in Interfaces and Free Boundaries. Oberwolfach Rep. 14 (2017), no. 1, pp. 267–338DOI 10.4171/OWR/2017/6