Abstract
The idea of tensors arose when physicists started dealing with forces inside elastic solids (tensions lead to tensors). Mathematically speaking, tensors are multilinear forms.
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Notes
- 1.
This kind of solution is used to solve the Prandtl equation describing boundary layer flows (see Sect. 4.3.6).
- 2.
erf is the error function defined by
$$\displaystyle{\mathrm{erf}(x) = \frac{1} {\sqrt{\pi }}\int _{0}^{x}e^{-u^{2}}\mathit{du}}$$that is to say as the integral of a Gaussian (erf(∞)=1).
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Rieutord, M. (2015). Complements of Mathematics. In: Fluid Dynamics. Graduate Texts in Physics. Springer, Cham. https://doi.org/10.1007/978-3-319-09351-2_12
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