Abstract
In this chapter we first state the Navier–Stokes (N–S) problem as a system of nonlinear partial differential equations (PDE) along with initial conditions. We then convert this system of PDE to a system of integral equations (IE).
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Notes
- 1.
Fefferman actually had \([0,\infty )\) instead of [0, T]. We shall however consider only the case of [0, T] in this monograph.
References
C. Fefferman, Existence and smoothness of the Navier–Stokes equation. Clay Mathematics Institute (2000), http://www.claymath.org/millennium/
F. Stenger, Handbook of Sinc Numerical Methods. A 470-page Tutorial & Matlab Package (CRC Press, Boca Raton, 2011)
S. Sýkora, K-space images of n-dimensional spheres and generalized Sinc functions (2007), www.ebyte.it/library/docs/math07/SincN.html
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Stenger, F., Tucker, D., Baumann, G. (2016). Introduction, PDE, and IE Formulations. In: Navier–Stokes Equations on R3 × [0, T]. Springer, Cham. https://doi.org/10.1007/978-3-319-27526-0_1
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DOI: https://doi.org/10.1007/978-3-319-27526-0_1
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Online ISBN: 978-3-319-27526-0
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