Harald Garcke

Prof. Dr. Harald Garcke holds the Chair of Mathematics VIII at the University of Regensburg. His research develops mathematical models for interface dynamics, including phase field approaches for tumor growth, multiphase flows, and geometric evolution equations.

Research Focus: Analysis and numerical methods for free boundary problems, with applications in materials science and biophysics. Current projects include Cahn-Hilliard systems with elasticity, anisotropic curvature flows, and structure-preserving discretizations of surface diffusion.

Key Contributions: Developed phase-field topology optimization frameworks, proved well-posedness for diffuse interface models with variable densities, and established stability criteria for double bubbles under surface diffusion flow.