@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",

}