Nematic liquid crystals on curved surfaces: a thin film limit

Research output: Contribution to journalResearch articleContributedpeer-review


We consider a thin film limit of a Landau-de Gennes Q-tensor model. In the limiting process we observe a continuous transition where the normal and tangential parts of the Q-tensor decouple and various intrinsic and extrinsic contributions emerge. Main properties of the thin film model, like uniaxiality and parameter phase space, are preserved in the limiting process. For the derived surface Landau-de Gennes model, we consider an L2-gradient flow. The resulting tensor-valued surface partial differential equation is numerically solved to demonstrate realizations of the tight coupling of elastic and bulk free energy with geometric properties.


Original languageEnglish
Pages (from-to)20170686
JournalProceedings of the Royal Society of London : Series A, Mathematical, physical and engineering sciences
Issue number2214
Publication statusPublished - 30 Jun 2018

External IDs

Scopus 85049627191