The Hunter-Saxton System and the Geodesics on a Pseudosphere |
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Authors: | Jonatan Lenells |
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Institution: | Department of Mathematics , Baylor University , Waco , Texas , USA |
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Abstract: | We show that the two-component Hunter-Saxton system with negative coupling constant describes the geodesic flow on an infinite-dimensional pseudosphere. This approach yields explicit solution formulae for the Hunter-Saxton system. Using this geometric intuition, we conclude by constructing global weak solutions. The main novelty compared with similar previous studies is that the metric is indefinite. |
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Keywords: | Geodesics Global weak solutions Pseudosphere The Hunter-Saxton system |
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