32 citations · 135 across the 28 of their papers we have counts for
4 papers · 1 filter
Local well-posedness of the Camassa-Holm equation on the real line
Jae Min Lee, Stephen C. Preston
In this paper we prove the local well-posedness of the Camassa-Holm equation on the real line in the space of continuously differentiable diffeomorphisms with an appropriate decayi…
The exponential map of the group of area-preserving diffeomorphisms of a surface with boundary
James Benn, Gerard Misiolek, Stephen C. Preston
We prove that the Riemannian exponential map of the right-invariant metric on the group of volume-preserving diffeomorphisms of a two-dimensional manifold with a nonempty bou…
Global Existence and Blowup for Geodesics in Universal Teichmüller Spaces
Stephen C. Preston, Pearce Washabaugh
In this paper we prove that all initially-smooth solutions of the Euler-Weil-Petersson equation, which describes geodesics on the universal Teichmüller space under the Weil-Peterss…
Quotient elastic metrics on the manifold of arc-length parameterized plane loops
Alice Barbara Tumpach, Stephen C. Preston
We study the pull-back of the 2-parameter family of quotient elastic metrics introduced in Mio-Srivastava-Joshi on the space of arc-length parameterized loops. This point of view h…