Singularity formation in dissipative harmonic flows (C01)

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

In this project we study the harmonic map heat flow equation and some of its variants, e.g., the Landau-Lifshitz-Gilbert equation. In these equations singularities are known to appear generically and spontaneously. Guided by analytical theory, we shall develop a reliable andflexible numerical simulation environment to capture singular phenomena based on tailor-made finite element methods. In return, numerical simulations will allow us to attack open mathematical questions regarding the singularity formation of harmonic flows in two andthree space dimensions.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 1481: Sparsity and Singular Structures
• Applicant Institution: Rheinisch-Westfälische Technische Hochschule Aachen
• Project Heads: Professor Dr. Christof Erich Melcher; Professor Dr. Arnold Reusken