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Energy conservative solutions to a nonlinear wave system of nematic liquid crystals

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  • We establish the global existence of solutions to the Cauchy problem for a system of hyperbolic partial differential equations in one space dimension modeling a type of nematic liquid crystals that has equal splay and twist coefficients. Our results have no restrictions on the angles of the director, as we use the director in its natural three-component form, rather than the two-component form of spherical angles.
    Mathematics Subject Classification: Primary: 35L65, 35J70; Secondary: 35J65.


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