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Global well-posedness to incompressible non-inertial Qian-Sheng model

  • * Corresponding author: Yangjun Ma

    * Corresponding author: Yangjun Ma

This work is supported by the grants from the National Natural Foundation of China under contract No. 11971360

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  • In this paper we study the incompressible non-inertial Qian-Sheng model, which describes the hydrodynamics of nematic liquid crystals without inertial effect in the $ Q $-tensor framework. Under some proper assumptions on the viscous coefficients, we prove the local well-posedness with large initial data and the global existence with small size of the initial data in the classical solutions regime.

    Mathematics Subject Classification: Primary: 35A01, 35A09, 35B45, 35B65, 35Q35; Secondary: 76A15.


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