Long-time behaviour of Langevin-type dynamics on Riemannian manifolds and scaling limits
- The thesis investigates the phenomenon of hypocoercivity for Langevin-type equations on manifolds via a powerful abstract Hilbert space method. In applications, hypocoercivity experienced by the semigroup can be used to find optimal parameters for the production of nonwoven fleeces. Furthermore, the last chapter introduces a new scaling limit technique: Employing the concept of so-called stratifolds we can show Kuwae-Shioya-Mosco convergence of anisotropic 3D fibre lay-down models to an isotropic 2D model.
