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arXiv · 2105.10652

From the Landau-de Gennes theory to the Ericksen-Leslie theory in dimension two

Zhouping Xin·Xiaotao Zhang
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Abstract

In this paper, we study the connection between the Ericksen-Leslie equations and the Beris-Edwards equations in dimension two. It is shown that the weak solutions to the Beris-Edwards equations converge to the one to the Ericksen-Leslie equations as the elastic coefficient tends to zero. Moreover, the limiting weak solutions to the Ericksen-Leslie equations may have singular points.

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Zhouping Xin, Xiaotao Zhang. 2021-05-22. From the Landau-de Gennes theory to the Ericksen-Leslie theory in dimension two. https://arxiv.org/abs/2105.10652

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