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In this work we consider a stochastic evolution equation which describes thesystem governing the nematic liquid crystals driven by a pure jump noise. Theexistence of a martingale solution is proved for both 2D and 3D cases. Theconstruction of the solution is based on the classical Faedo-Galerkinapproximation, compactness method and the Jakubowski's version of the Skorokhodrepresentation theorem for non-metric spaces. We prove the solution is pathwiseunique and further establish the existence of a strong solution in the 2D case.

Existence of weak martingale solution of Nematic Liquid Crystals driven by Pure Jump Noise