2 papers
math.AP2025
Breakdown of smooth solutions to the subcritical EPDiff equation
Martin Bauer, Stephen C. Preston, Justin Valletta
We consider the EPDiff equation on with the integer-order homogeneous Sobolev inertia operator . We prove that for arbitrary radial initial data and a sign…
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…