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math.DG2023
Geometric Analysis of the Generalized Surface Quasi-Geostrophic Equations
Martin Bauer, Patrick Heslin, Gerard Misiołek +1
We investigate the geometry of a family of equations in two dimensions which interpolate between the Euler equations of ideal hydrodynamics and the inviscid surface quasi-geostroph…
math.DG2023★ 3 cited
Completeness and geodesic distance properties for fractional Sobolev metrics on spaces of immersed curves
Martin Bauer, Patrick Heslin, Cy Maor
We investigate the geometry of the space of immersed closed curves equipped with reparametrization-invariant Riemannian metrics; the metrics we consider are Sobolev metrics of poss…