Abstract
We consider the system of equations and relations like (2.17) or (2.19) to be a concrete mathematical model if the Helmholtz free energy function F and all the other dependent variables (the irreversible part of the stress tensor D T KL, for instance) are determined by a finite number of terms and their coefficients. For that, i.e. for the justification of series representation and truncation of series with a necessary accuracy auxiliary assumptions are needed.
One of the principal objects of theoretical research in any department of knowledge is to find the point of view from which the subject appears in its greatest simplicity. J. W. Gibbs
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© 1997 Springer Science+Business Media Dordrecht
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Engelbrecht, J. (1997). Nonlinear wave dynamics: mathematical models. In: Nonlinear Wave Dynamics. Kluwer Texts in the Mathematical Sciences, vol 17. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8891-1_4
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DOI: https://doi.org/10.1007/978-94-015-8891-1_4
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4833-2
Online ISBN: 978-94-015-8891-1
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