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arXiv · 2112.04074

Existence and convergence of the Beris-Edwards system with general Landau-de Gennes energy

Zhewen Feng·Min-Chun Hong·Yu Mei
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Abstract

In this paper, we investigate the Beris-Edwards system for both biaxial and uniaxial $Q$-tensors with a general Landau-de Gennes energy density depending on four non-zero elastic constants. We prove existence of the strong solution of the Beris-Edwards system for uniaxial $Q$-tensors up to a maximal time. Furthermore, we prove that the strong solutions of the Beris-Edwards system for biaxial $Q$-tensors converge smoothly to the solution of the Beris-Edwards system for uniaxial $Q$-tensors up to its maximal existence time.

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Zhewen Feng, Min-Chun Hong, Yu Mei. 2021-12-08. Existence and convergence of the Beris-Edwards system with general Landau-de Gennes energy. https://arxiv.org/abs/2112.04074

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