This minisymposium is focused on recent advances in the analysis of and modeling by free boundary problems. A particular emphasis lies on the discussion of important applications from the sciences. The minisymposium aims to bring together a diverse group of researchers, new and established, to discuss topics covering a broad range of mathematical questions and state-of-the-art techniques. These include, but are not limited to, weak and strong solution theories, the rigorous derivation of free boundary limits, and qualitative properties of solutions.
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2:00pm - 2:20pmA new reformulation of the Muskat problem with surface tension
A. Matioc, B. Matioc
University of Regensburg
2:20pm - 2:40pmThe Mullins–Sekerka equation: Existence theory and weak-strong stability for a novel weak solution concept
J. Fischer1, S. Hensel2, T. Laux3, T. Simon4, K. Stinson2
1Institute of Science and Technology Austria; 2University of Bonn; 3University of Regensburg; 4University of Münster
2:40pm - 3:00pmA Non-local Free Boundary Problem Arising in a Model of Cell Polarization
A. Logioti1, B. Niethammer2, M. Röger3, J. J. L. Velázquez2
1University of Stuttgart; 2University of Bonn; 3TU Dortmund University
3:00pm - 3:20pmPhase-Field Models for Organic Solar Cell Production
C. Tretmans, J.-F. Pietschmann
University of Augsburg
3:20pm - 3:40pmComparison of the fracture toughness of two species of cactus using phase field modeling
P. Dondl, M. Mylo, O. Speck, L. Striet
University of Freiburg
3:40pm - 4:00pmA free boundary model for transport induced neurite growth
G. Marino1, J.-F. Pietschmann1, M. Winkler2
1University of Augsburg; 2TU Chemnitz
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