Intrinsic convexity in the Mullins-Sekerka evolution (C02)

• Subject Area: Mathematics
• Term: since 2022
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 442047500

Intrinsic convexity has been introduced and capitalized on by Otto and M. Westdickenberg to prove contraction estimates for the porous medium equation. The HED method to establish convergence of nonconvex gradient flows has been developed by Otto and M. G. Westdickenberg and exploited in joint work with Chugreeva for the Mullins-Sekerka (MS) evolution. In this project we combine the insights of these previous works to hunt for “optimal convexity” of the MS problem.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 1481: Sparsity and Singular Structures
• Applicant Institution: Rheinisch-Westfälische Technische Hochschule Aachen
• Project Heads: Professorin Dr. Maria G. Westdickenberg; Professor Dr. Michael Westdickenberg