The strict proof of Duhamel conjecture

The strict proof of Duhamel conjecture

In this paper, a strict proof of Duhamel conjecture (namely the Duhamel principle proposed 140 years ago) is given by six links, which give the detailed and rigorous mathematical derivations on the application of Duhamel principle for solving the inhomogeneous wave equations and the inhomogeneous heat conduction equations.

Key words: Duhamel conjecture Duhamel principle wave equation heat conduction equation

Six links:

The detailed mathematical derivation of Homogeneous Principle (1)

The detailed mathematical derivation of Homogeneous Principle (2)

The detailed mathematical derivation of Homogeneous Principle (3)

The detailed mathematical derivation of Homogeneous Principle (4)

The detailed mathematical derivation of Homogeneous Principle (5)

The detailed mathematical derivation of Homogeneous Principle (6)

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TAG:北京大學 | 香港大學HKU | 國立臺灣大學 |