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- W4288889614 abstract "In this paper, we consider the initial and boundary value problem of Ericksen-Leslie system modeling nematic liquid crystal flows in dimension three. Two examples of singularity at finite time are constructed. The first example is constructed in a special axisymmetric class with suitable axisymmetric initial and boundary data, while the second example is constructed for an initial data with small energy but nontrivial topology. A counter example of maximum principle to the system is constructed by utilizing the Poiseuille flow in dimension one." @default.
- W4288889614 created "2022-07-31" @default.
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- W4288889614 date "2022-02-03" @default.
- W4288889614 modified "2023-10-13" @default.
- W4288889614 title "On singularities of Ericksen-Leslie system in dimension three" @default.
- W4288889614 doi "https://doi.org/10.48550/arxiv.2202.01955" @default.
- W4288889614 hasPublicationYear "2022" @default.
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