3 papers
math.AP2026
Sharp Convergence to the Half-Space for Mullins-Sekerka in the Plane
Wenhui Shi, Maria G. Westdickenberg, Michael Westdickenberg
We revisit the HED Method for the Mullins-Sekerka evolution in the plane. We identify a natural notion of distance, intrinsic to the interface itself. Using this distance, the ener…
math.AP2026
A Hydrodynamics Formulation for a Nonlinear Dirac Equation
Joan Morrill i Gavarró, Michael Westdickenberg
We derive a hydrodynamics formulation for a modified Dirac equation with a nonlinear mass term that preserves the homogeneity of the original Dirac equation. The nonlinear Dirac eq…
math.OC2025
Avoidance of non-strict saddle points by blow-up
El Mehdi Achour, Umberto L. Hryniewicz, Michael Westdickenberg
It is an old idea to use gradient flows or time-discretized variants thereof as methods for solving minimization problems. In some applications, for example in machine learning con…