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Belloche, A. (2013) Observation of Rotation in Star Forming Regions: Clouds, Cores, Disks, and Jets. In: Hennebelle, P. and Charbonnel, C., Eds., Angular Momentum Transport during Star Formation and Evolution, EAS Pub. Ser. 62, 25.

has been cited by the following article:

• TITLE: Exact Axisymmetric Solutions of the 2-D Lane-Emden Equations with Rotation

  AUTHORS: Dimitris M. Christodoulou, Demosthenes Kazanas

  KEYWORDS: Dark Matter, Gravitation, Galaxies, Protoplanetary Disks

  JOURNAL NAME: Journal of Modern Physics, Vol.7 No.15, November 24, 2016

  ABSTRACT: We have derived exact axisymmetric solutions of the two-dimensional Lane-Emden equations with rotation. These solutions are intrinsically favored by the differential equations regardless of any adopted boundary conditions and the physical solutions of the Cauchy problem are bound to oscillate about and remain close to these intrinsic solutions. The isothermal solutions are described by power-law density profiles in the radial direction, whereas the polytropic solutions are described by radial density profiles that are powers of the zeroth-order Bessel function of the first kind. Both families of solutions decay exponentially in the vertical direction and both result in increasing or nearly flat radial rotation curves. The results are applicable to gaseous spiral-galaxy disks that exhibit flat rotation curves and to the early stages of protoplanetary disk formation before the central star is formed.