Session | ||
MS5: Free boundary problems in the sciences: PDE analysis and modeling
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Session Abstract | ||
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. | ||
Presentations | ||
2:00pm - 2:20pm
A new reformulation of the Muskat problem with surface tension University of Regensburg 2:20pm - 2:40pm
The Mullins–Sekerka equation: Existence theory and weak-strong stability for a novel weak solution concept 1Institute of Science and Technology Austria; 2University of Bonn; 3University of Regensburg; 4University of Münster 2:40pm - 3:00pm
A Non-local Free Boundary Problem Arising in a Model of Cell Polarization 1University of Stuttgart; 2University of Bonn; 3TU Dortmund University 3:00pm - 3:20pm
Phase-Field Models for Organic Solar Cell Production University of Augsburg 3:20pm - 3:40pm
Comparison of the fracture toughness of two species of cactus using phase field modeling University of Freiburg 3:40pm - 4:00pm
A free boundary model for transport induced neurite growth 1University of Augsburg; 2TU Chemnitz |