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From the Landau-de Gennes theory to the Ericksen-Leslie theory in dimension two
Published 22 May 2021 in math.AP | (2105.10652v1)
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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