Stephen C. Preston

Available identifiers

zbMath Open preston.stephen-cMaRDI QIDQ352111

List of research outcomes

Publication	Date of Publication	Type
Conjugate points along Kolmogorov flows on the torus	2024-04-10	Paper
Three methods to put a Riemannian metric on shape space	2024-01-16	Paper
Geometric Analysis of the Generalized Surface Quasi-Geostrophic Equations	2023-12-07	Paper
Liouville comparison theory for blowup of Euler-Arnold equations	2023-06-16	Paper
Solar models and McKean's breakdown theorem for the \(\mu \mathrm{CH}\) and \(\mu \mathrm{DP}\) equations	2023-04-11	Paper
Conjugate point criteria on the area-preserving diffeomorphism group	2022-12-01	Paper
Axisymmetric Diffeomorphisms and Ideal Fluids on Riemannian 3-Manifolds	2022-01-18	Paper
Solar models and McKean's breakdown theorem for the $\mu$CH and $\mu$DP equations	2021-07-25	Paper
A diffeomorphism-invariant metric on the space of vector-valued one-forms	2021-05-12	Paper
Nonpositive curvature of the quantomorphism group and quasigeostrophic motion	2021-02-24	Paper
Fisher-Rao geometry of Dirichlet distributions	2021-02-24	Paper
Shape analysis of surfaces using general elastic metrics	2020-12-29	Paper
Geodesic completeness of the \(H^{3/2}\) metric on \(\text{Diff}(S^1)\)	2020-09-01	Paper
Vanishing distance phenomena and the geometric approach to SQG	2020-02-20	Paper
Isometric Immersions and the Waving of Flags	2019-05-15	Paper
Math in the Black Forest: Workshop on New Directions in Shape Analysis	2018-11-04	Paper
The exponential map of the group of area-preserving diffeomorphisms of a surface with boundary	2018-08-16	Paper
Euler-Arnold equations and Teichmüller theory	2018-06-01	Paper
The geometry of axisymmetric ideal fluid flows with swirl	2018-04-03	Paper
Quotient elastic metrics on the manifold of arc-length parameterized plane curves	2017-05-22	Paper
Local well-posedness of the Camassa-Holm equation on the real line	2017-03-13	Paper
Lagrangian aspects of the axisymmetric Euler equation	2016-05-25	Paper
Global Existence and Blowup for Geodesics in Universal Teichm\"uller Spaces	2016-03-22	Paper
Geometric investigations of a vorticity model equation	2015-11-04	Paper
Riemannian geometry of the contactomorphism group	2015-07-29	Paper
Geometry of the contactomorphism group	2015-06-10	Paper
One-parameter solutions of the Euler-Arnold equation on the contactomorphism group	2015-01-07	Paper
The geometry of barotropic flow	2014-03-25	Paper
Curvatures of Sobolev metrics on diffeomorphism groups	2014-02-11	Paper
Geometry of diffeomorphism groups, complete integrability and geometric statistics	2013-07-04	Paper
An \(H^1\) model for inextensible strings	2013-04-24	Paper
Riemannian geometry on the quantomorphism group	2013-02-20	Paper
The geometry of whips	2012-03-01	Paper
The motion of whips and chains	2011-07-07	Paper
A Geometric Rigidity Theorem for Hydrodynamical Blowup	2011-01-20	Paper
Fredholm properties of Riemannian exponential maps on diffeomorphism groups	2010-01-22	Paper
The WKB method for conjugate points in the volumorphism group	2009-05-13	Paper
Geometry of whips and chains	2008-04-09	Paper
On the volumorphism group, the first conjugate point is always the hardest	2007-05-31	Paper
Singularities of the exponential map on the volume-preserving diffeomorphism group	2006-10-16	Paper
Nonpositive curvature on the area-preserving diffeomorphism group	2005-06-13	Paper
For ideal fluids, Eulerian and Lagrangian instabilities are equivalent	2005-02-24	Paper

Research outcomes over time

Doctoral students

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