# Geometric Hydrodynamics in Open Problems

@inproceedings{Khesin2022GeometricHI, title={Geometric Hydrodynamics in Open Problems}, author={Boris Khesin and Gerard Misiołek and Alexander Shnirelman}, year={2022} }

Geometric Hydrodynamics has ﬂourished ever since the celebrated 1966 paper of V. Arnold. In this paper we present a collection of open problems along with several new constructions in ﬂuid dynamics and a concise survey of recent developments and achievements in this area. The topics discussed include variational settings for diﬀerent types of ﬂuids, models for invariant metrics, the Cauchy and boundary value problems, partial analyticity of solutions to the Euler equations, their steady and…

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