What is recorded here?
Euler formulated fluid motion using spatial velocity and density fields, mass conservation, material acceleration, pressure gradients and body forces. He also gave a rotational example showing that velocity-potential flow is only a special case. Mass balance and force balance become coupled equations for fields rather than a description of one pipe or trajectory. The paper identifies pressure as part of the dynamical system and recognizes that boundary conditions are needed to select a flow. It explicitly retracts an earlier overgeneralization of potential motion. Writing equations did not solve the full initial-boundary-value problem.
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Scientific scope
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.
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People and systems
Leonhard Euler
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English catalogue narrative
Euler: general equations for inviscid fluid motion
Euler formulated fluid motion using spatial velocity and density fields, mass conservation, material acceleration, pressure gradients and body forces. He also gave a rotational example showing that velocity-potential flow is only a special case.
Mass balance and force balance become coupled equations for fields rather than a description of one pipe or trajectory. The paper identifies pressure as part of the dynamical system and recognizes that boundary conditions are needed to select a flow. It explicitly retracts an earlier overgeneralization of potential motion. Writing equations did not solve the full initial-boundary-value problem.
Scientific scope
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.
People and systems
Leonhard Euler