# Q-tensor gradient flow with quasi-entropy and discretizations preserving physical constraints

@article{Wang2021QtensorGF, title={Q-tensor gradient flow with quasi-entropy and discretizations preserving physical constraints}, author={Yanli Wang and Jie Xu}, journal={ArXiv}, year={2021}, volume={abs/2110.11053} }

We propose and analyze numerical schemes for the gradient flow of Q-tensor with the quasientropy. The quasi-entropy is a strictly convex, rotationally invariant elementary function, giving a singular potential constraining the eigenvalues of Q within the physical range (−1/3, 2/3). Compared with the potential derived from the Bingham distribution, the quasi-entropy has the same asymptotic behavior and underlying physics. Meanwhile, it is very easy to evaluate because of its simple expression…

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