Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840905 | Nonlinear Analysis: Theory, Methods & Applications | 2011 | 10 Pages |
Abstract
We give explicit solutions for the two-component Hunter–Saxton system on the unit circle. Moreover, we show how global weak solutions can be naturally constructed using the geometric interpretation of this system as a re-expression of the geodesic flow on the semidirect product of a suitable subgroup of the diffeomorphism group of the circle with the space of smooth functions on the circle. These spatially and temporally periodic solutions turn out to be conservative.
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Authors
Marcus Wunsch,