From “Conservation” in Classical Physics to Solitons in Particle Physics
The general concept of conservation in nature has not yet been well understood. On one hand, all evidence supports the idea of conservation of certain things and the growth or decline of some others. For the former we speak about conservation equations, for the latter on balance equations. On the other hand, conservation, in its broadest sense, includes unresolved physico-philosophical problems.
KeywordsInternal Energy Solitary Wave Classical Physic Lepton Number Gravity Vector
Unable to display preview. Download preview PDF.
- cf., e.g., Aris, R., Vectors, Tensors, and Basic Equations of Fluid Mechanics, Prentice-Hall, N.Y. 1962 pp. 102. It should be noted that it is equally valid to assume symmetry of r and deduce conservation of angular momentum! Fluids obeying eq. (33) are also called “structureless” fluids. In these circumstances (33) may be viewed as a highly restrictive assumption (For a theory of polar fluids with asymmetric viscous stress tensors and applications to lubricity problems see Gal-Or and Zehavi s paper in the Intern. ( ASME co-sponsored) Congress on Gas Turbines, Haifa, 1979 ).Google Scholar
- Also known as bulk viscosity. For a brief discussion see Chapman and T. G. Cowling, `The Mathematical Theory of Non-Uniform Gases,“ Cambridge, 1970. (3rd ed.).Google Scholar
- Note that C, itself is not necessarily constant, as is incorrectly implied by some textbooks, (cf. e.g., Yan, S. W. “Foundations of Fluid Mechanics,” Prentice, London, 1967; Schlichting, Boundary Layer Theory), by misleading and utterly mistaken derivations (see also below).Google Scholar
- Beurle, R. L., Philos. Trans. R. Soc. London, Ser. B 240,55 (1956). See §IX.2.5.1 for terminology.Google Scholar
- Tuckwell, H. C., Science, 205,493 (1979). See §IX.2.5.1 for terminology.Google Scholar
- Hodgkin, A. L. and A. F. Huxley, J. Physiol. (London) 117, 500 (1952).Google Scholar