Asymptotic limit of the Landau-de Gennes model for liquid crystals around an inclusion

Dominik Stantejsky, McMaster University

03/13, 2023 at 11:30am-12:30pm (HH312)

After a general introduction about liquid crystals and their singularities, I present a variational convergence result based on the Landau-de Gennes model describing the Saturn ring effect around an immersed particle with external magnetic field. We will see how the energy concentrates on lines and surfaces close to, or on the particle surface, leading to a geometric limit problem. I will discuss properties of the limit functional and give examples of minimizers for some chosen particle shapes.