Sparsity promoting patterns in kinetic hierarchies (B04)

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

Kinetic differential equations describe transport processes in particle systems on the basis of distribution functions. In this project moment closures for kinetic equations are discussed based on minimization of sparsity promoting functionals. We will deal with the mathematical analysis and the development of suitable numerical schemes for this new approach. A particular focus will be on admissible closure relations and on the case of linear Boltzmann equations.

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