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Bifurcation Theory, Mechanics and Physics - Mathematical Developments and Applications (Hardcover, 1983 ed.)
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Bifurcation Theory, Mechanics and Physics - Mathematical Developments and Applications (Hardcover, 1983 ed.)
Series: Mathematics and Its Applications, 11
Expected to ship within 10 - 15 working days
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This volume presents the proceedings of a colloquium inspired by
the former President of the French Mathematical Society, Michel
Herve. The aim was to promote the development of mathematics
through applications. Since the ancient supports the new, it seemed
appropriate to center the theoretical conferences on new subjects.
Since the world is movement and creation, the theoretical
conferences were planned on mechanics (movement) and bifurcation
theory (creation). Five aspects of mechanics were to be presented,
but, unfortunately, it has not been possible to include the statis-
tical mechanics aspect. So that only four aspects are presented:
Classical mechanics (Hamiltonian, Lagrangian, Poisson) (W.N.
Tulczyjew, J .E. l-lhite, C.M. MarIe). - Quantum mechanics (in
particular the passage from the classi- cal to the quantum approach
and the problem of finding the explicit solution of Schrodinger's
equation)(M. Cahen and S. Gutt, J. Leray). Fluid mechanics (meaning
problems involving partial differ- ential equations. One of the
speakers we hoped would attend the conference was in Japan at the
time, however his lecture is presented in these proceedings.) (J.F.
Pommaret, H.I-l. Shi) - Mathematical "information" theory (S.
Guiasll) Traditional physical arguments are characterized by their
great homogeneity, and mathematically expressed by the compactness
prop- erty. In such cases, there is a kind of duality between
locality and globality, which allows the use of the infinitesimal
in global considerations.
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