On the general anisotropic Ericksen-Leslie model

The Ericksen-Leslie model for nematic liquid crystal flows in a bounded domain with general Leslie and anisotropic Ericksen stress tensor in the case of an isothermal and incompressible fluid is studied.

Of central importance is a fully nonlinear boundary condition for the director field, which, in this generality, is necessary to guarantee that the system fulfills physical principles. The system is shown to be locally, strongly well-posed in the Lp-setting. More precisely, the existence and uniqueness of a local-in-time, strong Lp-solution to the general system are proven.

Referent/Referentin

Prof. Dr. Matthias Wilke

Veranstalter

Institut für Angewandte Mathematik

Termin

22. Oktober 2024
15:00 Uhr - 17:00 Uhr

Kontakt

Antje Günther
Institut für Angewandte Mathematik
Welfengarten 1
30167 Hannover
Tel.: 0511/762-3251
Fax: 0511/762-3988
guenther@ifam.uni-hannover.de

Ort

Leibniz Universität Hannover
Geb.: 1101
Raum: C311
Welfengarten 1
30167 Hannover

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Weblink

https://www.ifam.uni-hannover.de/de/forschung/angewandte-analysis/os-analysis-und-theoretische-physik