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http://dx.doi.org/10.5303/PKAS.2005.20.1.037

UNDERSTANDING OF DISK STRUCTURE DURING THE COLLAPSE OF THE VISCOUS DISK USING SELF-SIMILAR AND NUMERICAL SOLUTIONS  

Yoo, Kye-Hwa (Department of Science Education, Ewha Womans University)
Publication Information
Publications of The Korean Astronomical Society / v.20, no.1, 2005 , pp. 37-42 More about this Journal
Abstract
The problem for the collapse of isothermal and rotational self-gravitational viscous disk is considered. We derive self-similar solutions for the cases in the inner and outer regions of the self-gravitational viscous disk. We show that surface density depends on ${\sigma}_0/r$ in the outer region of the disk using a slow accretion approximation. The ratio of a modified viscous parameter in the outer region of the disk to that in the inner region is 0.042. We resorted to numerical solutions of governing equations of the self-gravitational disk to find out profiles of ${\sigma}$, u and ${\upsilon}$ in terms of x. Their profiles were rapidly changed around the innermost region of the self-gravitational disk. It indicates that a new object was formed in the most inner region of the disk.
Keywords
self-gravitational viscous disk-collapse-numerical solution; self-similar solutions;
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