One-to-one correspondence between stationary solutions of the parabolic Ericksen-Leslie system and roots of an algebraic equation establishes countably many saddle-node bifurcations at critical shear speeds together with eigenvalue-based stability switching under a generic condition.
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Bifurcation and stability of stationary shear flows of Ericksen-Leslie model for nematic liquid crystals
One-to-one correspondence between stationary solutions of the parabolic Ericksen-Leslie system and roots of an algebraic equation establishes countably many saddle-node bifurcations at critical shear speeds together with eigenvalue-based stability switching under a generic condition.