Reciprocal Relations in Dissipationless Hydrodynamics

TL;DR

This paper reveals a hidden symmetry in dissipationless hydrodynamics, showing that all fluxes derive from a single function and deriving Euler equations within this formalism.

Contribution

It introduces a formalism that uncovers symmetry and unifies fluxes in dissipationless hydrodynamics, deriving classical Euler equations.

Findings

All fluxes are generated by a single function.

The formalism derives Euler equations from symmetry considerations.

Reveals hidden symmetry in dissipationless hydrodynamics.

Abstract

Hidden symmetry in dissipationless terms of arbitrary hydrodynamics equations is recognized. We demonstrate that all fluxes are generated by a single function and derive conventional Euler equations using proposed formalism.