Overview and details of the sessions of this conference. Please select a date or location to show only sessions at that day or location. Please select a single session for detailed view (with abstracts and downloads if available).
MS5: Free boundary problems in the sciences: PDE analysis and modeling
Time:
Tuesday, 19/Mar/2024:
2:00pm - 4:00pm
Session Chair: Greta Marino Session Chair: Sebastian Hensel
Location:G22/120
Conference Room 120 in Building 22; size: 40
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
A. Matioc, B. Matioc
University of Regensburg
2:20pm - 2:40pm
The 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 - 3:00pm
A 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 - 3:20pm
Phase-Field Models for Organic Solar Cell Production
C. Tretmans, J.-F. Pietschmann
University of Augsburg
3:20pm - 3:40pm
Comparison 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 - 4:00pm
A free boundary model for transport induced neurite growth
