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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > On the cubic instability in the Q-tensor theory of nematics

## On the cubic instability in the Q-tensor theory of nematicsAdd to your list(s) Download to your calendar using vCal - Zarnescu, A (University of Sussex)
- Wednesday 09 January 2013, 10:00-10:40
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact Mustapha Amrani. The Mathematics of Liquid Crystals Symmetry considerations, as well as compatibility with the Oseen-Frank theory, require the presence of a cubic term (involving spatial derivatives) in the Q-tensor energy functional used for describing variationally the nematics. However the presence of the cubic term makes the energy functional unbounded from below. We propose a dynamical approach for addressing this issue, namely to consider the L^2 gradient flow generated by the energy functional and show that the energy is dynamically bounded, namely if one starts with a bounded, suitable, energy then the energy stays bounded in time. We discuss notions of suitability which are related to the preservation of a physical constraint on the eigenvalues of the Q-tensors (without using the Ball-Majumdar singular potential). This is joint work with G. Iyer and X. Xu (Carnegie-Mellon). This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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