By Robert M. Young

ISBN-10: 0127729550

ISBN-13: 9780127729558

ISBN-10: 1429483512

ISBN-13: 9781429483513

The idea of nonharmonic Fourier sequence is worried with the completeness and enlargement houses of units of complicated exponential capabilities. this article for graduate scholars and mathematicians presents an creation to a few of the classical and glossy theories inside of this extensive box. younger (mathematics, Oberlin collage) discusses such subject matters because the balance of bases in Banach areas, estimates for canonical items, and second sequences in Hilbert house.

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**Extra resources for An Introduction to Non-Harmonic Fourier Series, Revised Edition**

**Example text**

London, A 195, pp. 402–406, 1948. , The theory of homogeneous turbulence, Cambridge Univ. Press, 1953. R. , The phenomenology of small-scale turbulence, Ann. Rev. , 29, pp. 435–472, 1997. [8] Shen, X. , The anisotropy of the small scale structure in high Reynolds number (Rλ ≈ 1000) turbulent shear flow, Phys. Fluids, 12, pp. 2976–2989, 2000. , The structure of turbulent shear flow, Cambridge Univ. , 1956. [10] Corssin, S. , The free stream boundaries of turbulent flows, NACA Tech. Note 3133, 1954.

In spite of this limitation, resolved LES still remains a formidable tool for understanding new physical mechanisms occurring in turbulence. In this paper we focus on resolved LES carried out using dynamic mixed models that have been proved to be able to accurately simulate equilibrium as well as non-equilibrium turbulent flows [4, 5]. Moreover, dynamic models have also been demonstrated to simulate correctly flow fields characterized by sharp transition to turbulence and local re-laminarization (see for example [6, 7]).

On the mechanism of wall turbulence, J. , 119, pp. 173–217, 1982. A. , Metamorphosis of a hairpin vortex into a young turbulent spot, Phys. Fluids, 6, pp. 3724–3736, 1994. D. , Vortex organization in the outer region of the turbulent boundary layer, J. , 422, pp. 1–54, 2000. T. , Vortex-induced boundary-layer separation. Part 1. The unsteady limit problem Re → ∞, J. , 232, pp. 99–131, 1991. T. , Vortex-induced boundary-layer separation. Part 2. Unsteady interacting boundary-layer theory, J. , 232, pp.

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