A Serrin type criterion for incompressible hydrodynamic flow of liquid crystals in dimension three
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In the paper, we establish a Serrin type criterion for strong solutions to a simplified densitydependent Ericksen-Leslie system modeling incompressible, nematic liquid crystal materials in dimension three. The density may vanish in an open subset of ?. As a byproduct, we establish the Serrin type criterion for heat flow of harmonic map whose gradients belong to Lrx Lst, where 2/s + 3/r ? 1, for 3 < r ? ?.
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2019 ◽
Vol 267
(3)
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pp. 1767-1804
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2017 ◽
Vol 224
(3)
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pp. 1037-1086
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2020 ◽
Vol 51
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pp. 103014
2016 ◽
Vol 18
(3)
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pp. 539-569
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