3 papers
math.AP2026
Regularity of solution maps of the generalized surface quasi-geostrophic equations
Gerard MisioÅek, 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…
math.DG2025
Singular Sets of Riemannian Exponential Maps in Hydrodynamics
James Benn, Patrick Heslin, Leandro Lichtenfelz +1
We prove that the singular sets for the Lagrangian solution maps of the two-dimensional inviscid Euler and generalized surface quasi-geostrophic equations are Gaussian null sets. T…
math.DG2024
Information geometry of diffeomorphism groups
Boris Khesin, Gerard MisioÅek, Klas Modin
The study of diffeomorphism groups and their applications to problems in analysis and geometry has a long history. In geometric hydrodynamics, pioneered by V.~Arnold in the 1960s,…