Global weak solutions exist for the 2D hyperbolic Ericksen-Leslie Poiseuille flow, and at the first possible blowup time the rescaled solutions converge to a nontrivial axisymmetric harmonic map.
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Poiseuille flow of hyperbolic Ericksen-Leslie system in dimension two
Global weak solutions exist for the 2D hyperbolic Ericksen-Leslie Poiseuille flow, and at the first possible blowup time the rescaled solutions converge to a nontrivial axisymmetric harmonic map.