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On the general anisotropic Ericksen-Leslie model
22 Oct
22. October 2024
Oberseminar Analysis und Theoretische Physik

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.

Speaker/s

Prof. Dr. Matthias Wilke

Event organiser/s

Institut für Angewandte Mathematik

Date

22. October 2024
15:00 o'clock - 17:00 o'clock

Contact information

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

Location

Leibniz Universität Hannover
Building: 1101
Room: C311
Welfengarten 1
30167 Hannover
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