# liouville's theorem

liouville's theorem
\(ˈ)lyü|vēlz-\ noun
Usage: usually capitalized L
Etymology: after Joseph Liouville died 1882 French mathematician
: a theorem in fluid dynamics: the density of any selected part of a stream of fluid that does no work and that has no work done on it remains constant as that part moves along its stream line

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Math.
the theorem that every function of a complex variable, bounded and differentiable for all finite values of the variable, is a constant function.
[named after J. LIOUVILLE]

Useful english dictionary. 2012.

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• Liouville, Joseph — ▪ French mathematician born March 24, 1809, Saint Omer, France died September 8, 1882, Paris       French mathematician known for his work in analysis, differential geometry, and number theory and for his discovery of transcendental numbers i.e …   Universalium

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• Liouville-Theorem — Der Satz von Liouville (auch Liouville Theorem genannt, nach Joseph Liouville) ist eine direkte Folge aus der Liouville Gleichung und besagt, dass das von benachbarten Trajektorien im Phasenraum eingeschlossene (mehrdimensionale) Volumen konstant …   Deutsch Wikipedia