Zanaboni Theory and Saint-Venant’s Principle: Updated

Zanaboni Theory is mathematically analyzed in this paper. The conclusion is that Zanaboni Theorem is invalid and not a proof of SaintVenant’s Principle; Discrete Zanaboni Theorem and Zanaboni’s energy decay are inconsistent with Saint-Venant’s decay; the inconsistency, discussed here, between Zanaboni Theory and Saint-Venant’s Principle provides more proofs that Saint-Venant’s Principle is not generally true. AMS Subject Classifications: 74-02, 74G50