Abstract: |
Liquid crystal is a state of matter that has crystal properties and can flow like a liquid. These two characteristics interact with each other so that any distortion of the crystal structure affects
the flow, and vice versa.
In this talk, I will present recent results on the boundary value problem for the shear flow of nematic liquid crystals via the parabolic Ericksen-Leslie model. In particular, I will discuss the existence of multiple stationary solutions, bifurcation phenomenon, and stability/instability of bifurcating solutions. |
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