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math.AP2026
Distance Geometry and a Hydrodynamical Hopf-Rinow Criterion
Theodore D. Drivas, Patrick Heslin, Gerard Misiołek
The hydrodynamical Hopf-Rinow problem asks whether a given reconfiguration of an ideal fluid can be attained by an Euler flow. On the flat two-dimensional torus, we give an equival…
math.AP2026
Regularity of solution maps of the generalized surface quasi-geostrophic equations
Gerard Misiołek, Xuan-Truong Vu, Tsuyoshi Yoneda
We study regularity properties of the data-to-solution maps of the family of generalized surface quasi-geostrophic equations which includes both the 2D incompressible Euler and the…