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arxiv: 1701.01502 · v1 · pith:TPAP53BSnew · submitted 2017-01-05 · 🧮 math.AP

Nonuniqueness of nematic liquid crystal flows in dimension three

classification 🧮 math.AP
keywords crystaldimensionflowsliquidnematicsolutionsthreeaxisymmetric
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For suitable initial and boundary data, we construct infinitely many weak solutions to the nematic liquid crystal flows in dimension three. These solutions are in the axisymmetric class with bounded energy and backward bubbling at a large time.

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