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Introduction and Summary

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Navier–Stokes Equations

Part of the book series: Advances in Mechanics and Mathematics ((AMMA))

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Abstract

This chapter provides, for the convenience of the reader, an overview of the whole book, first of its structure and then of the content of the individual chapters.

When you put together the science of movements of water, remember to put beneath each proposition its applications, so that such science may not be without uses.

           – Leonardo da Vinci

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References

  1. M. Boukrouche, G. Łukaszewicz, An upper bound on the attractor dimension of a 2D turbulent shear flow with a free boundary condition, in Regularity and Other Aspects of the Navier–Stokes Equations, vol. 70 (Banach Center Publications, Warsaw, 2005), pp. 61–72

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  2. M. Boukrouche, G. Łukaszewicz, Shear flows and their attractors, in Partial Differential Equations and Fluid Mechanics, ed. by J.L. Rodrigo, J.C. Robinson. London Mathematical Society Lecture Note Series, vol. 364 (Cambridge University Press, Cambridge, 2009), pp. 1–27

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  3. P.L. Lions, Mathematical Topics in Fluid Mechanics. Volume 2: Compressible Models (Oxford University Press, Oxford, 1998)

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  4. A. Novotný, I. Stras̆kraba, Introduction to the Mathematical Theory of Compressible Flow (Oxford University Press, Oxford, 2004)

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Łukaszewicz, G., Kalita, P. (2016). Introduction and Summary. In: Navier–Stokes Equations. Advances in Mechanics and Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-27760-8_1

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