Mathematical Physics


Zanaboni Theorem and Saint-Venant's Principle

Authors: Jian-zhong Zhao

Violating the law of energy conservation, Zanaboni Theorem is invalid and Zanaboni's proof is wrong. Zanaboni's mistake of " proof " is analyzed. Energy Theorem for Zanaboni Problem is suggested and proved. Equations and conditions are established in this paper for Zanaboni Problem, which are consistent with , equivalent or identical to each other. Zanaboni Theorem is, for its invalidity , not a mathematical formulation or proof of Saint-Venant's Principle. AMS Subject Classifications: 74-02, 74G50

Comments: 10 Pages.

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Submission history

[v1] 2012-11-10 00:53:16

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