Euler: general equations for inviscid fluid motion

What changed

Mass continuity and pressure/body-force momentum balance organize three-dimensional fluid motion in spatial velocity/density fields; nonpotential examples establish the broader admissible flow class.

Scientific scope

Mass continuity and pressure/body-force momentum balance organize three-dimensional fluid motion in spatial velocity/density fields; nonpotential examples establish the broader admissible flow class. The source concerns classical smooth inviscid flow. A state relation and any additional temperature-like field are assumed; a modern compressible energy equation, viscosity, weak-solution theory and global existence are outside this contribution. The inspected English translation has modern corrective notes, which are separated from Euler's original authorship.

Evidence

Source-linked, scoped account of the original work. The published scope states the scientific assumptions and remaining verification limits. WRS has not independently certified the full proof, experimental result or system benchmark.

Contributors

• Leonhard Euler · SCIENCE: Original source-listed scientific author of this scoped work; byline does not determine effort fractions.

• Leonhard Euler, Principes généraux du mouvement des fluides (written 1755, printed 1757); Uriel Frisch adaptation of Thomas E. Burton's English translation

Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

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