@inbook{771ab6df83224a74adf330c16d13c186,
title = "Vortex-dominated flows and general theory",
abstract = "The general theory for this monograph is presented in this chapter. We state the Navier–Stokes equations for unsteady compressible vicsous flows in unbounded two- or three-dimensional space and specify the initial data and far-field behavior. A number of fundamental properties or integral invariants of the flow fields are derived. These invariants shall be employed to refine the analytical description of the far-field behavior and to verify the accuracy of numerical solutions.",
keywords = "Consistency condition, Line integral, Meridional plane, Spherical harmonic, Vector potential",
author = "Lu Ting and Rupert Klein and Knio, {Omar M.}",
note = "Publisher Copyright: {\textcopyright} 2007, Springer.",
year = "2007",
doi = "10.1007/978-3-540-68582-1_2",
language = "English (US)",
series = "Applied Mathematical Sciences (Switzerland)",
publisher = "Springer",
pages = "7--33",
booktitle = "Applied Mathematical Sciences (Switzerland)",
address = "Germany",
}