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On initial boundary value problems for variants of the Hunter–Saxton equation

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Abstract

The Hunter–Saxton equation serves as a mathematical model for orientation waves in a nematic liquid crystal. The present paper discusses a modified variant of this equation, coming up in the study of critical points for the speed of orientation waves, as well as a two-component extension. We establish well-posedness and blow-up results for some initial boundary value problems for the modified Hunter–Saxton equation and the two-component Hunter–Saxton system.

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  1. Institute for Applied Mathematics, University of Hannover, D-30167, Hannover, Germany

    Martin Kohlmann

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  1. Martin Kohlmann
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Correspondence to Martin Kohlmann.

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Kohlmann, M. On initial boundary value problems for variants of the Hunter–Saxton equation. Z. Angew. Math. Phys. 63, 441–452 (2012). https://doi.org/10.1007/s00033-011-0154-z

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  • DOI: https://doi.org/10.1007/s00033-011-0154-z

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