C02 Intrinsic convexity in the Mullins-Sekerka evolution
Intrinsic convexity was introduced and exploited by Otto and M. Westdickenberg to prove contraction estimates for the porous medium equation. The HED method to establish convergence of nonconvex gradient flows was developed by Otto and M. G. Westdickenberg and employed in joint work with Chugreeva for the Mullins-Sekerka (MS) evolution in two space dimensions. In this project we combine the insights of these previous works to hunt for “optimal convexity” of the MS problem in the plane.
Project Leaders
- Prof. Dr. Michael Westdickenberg
- RWTH Aachen University
- more information
- +49 241 80 94569
- mwest@instmath.rwth-aachen.de
- homepage
- Prof. Dr. Maria G. Westdickenberg
- RWTH Aachen University
- more information
- +49 241 80 94599
- maria@math1.rwth-aachen.de
- homepage
Postdoctoral Researcher
- Dr. Wenhui Shi
- RWTH Aachen University
- more information
- +49 241 80 97849
- shi@math1.rwth-aachen.de
- homepage
Publications
Variational Structure and Two-Dimensional Subsonic Jet Flows for Compressible Euler System with General Incoming Flows
Journal Article 2025
Avoidance of non-strict saddle points by blow-up
Preprint 2025
Sharp Convergence to the Half-Space for Mullins-Sekerka in the Plane
Preprint 2025
Optimal regularity for the variable coefficients parabolic Signorini problem
Preprint 2024
Variational structure and two-dimensional subsonic jet flows for compressible Euler system with general incoming flows
Preprint 2024