Under CopyrightLinn, J.J.Linn2022-03-0713.09.20062005https://publica.fraunhofer.de/handle/publica/29273310.24406/publica-fhg-292733Vorwort S.3-5 Abstract S.6 1 A short introduction to the Folgar?Tucker model S.7 1.1 Jeffrey's equation S.7 1.2 Macrosopic distribution of fiber orientation S.8 1.3 Fiber orientation tensors and the Folgar?Tucker equation S.8-9 1.4 The closure problem S.10 1.5 Basic properties of the FO matrix S.10 1.6 The FTE as a differential algebraic system S.11 1.7 Relations to microstructure models for nematic liquid crystals S.12 2 Mathematical characerization of the phase space of the FTE S.12-14 3 The problem of trace conservation and stability S.15-17 4 Conclusion S.18 References S.18-20 Published reports of the Fraunhofer ITWM S.21-28en519003006report