Joseph, K. T. ; Sahoo, Manas R. (2011) Some exact solutions of 3-dimensional zero-pressure gas dynamics system Acta Mathematica Scientia, 31 (6). pp. 2107-2121. ISSN 0252-9602
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Official URL: http://www.sciencedirect.com/science/article/pii/S...
Related URL: http://dx.doi.org/10.1016/S0252-9602(11)60387-1
Abstract
The 3-dimensional zero-pressure gas dynamics system appears in the modeling for the large scale structure formation in the universe. The aim of this paper is to construct spherically symmetric solutions to the system. The radial component of the velocity and density satisfy a simpler one dimensional problem. First we construct explicit solutions of this one dimensional case with initial and boundary conditions. Then we get special radial solutions with different behaviours at the origin.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| Keywords: | Zero-pressure Gas Dynamics; Spherically Symmetric Solutions |
| ID Code: | 83208 |
| Deposited On: | 16 Feb 2012 12:15 |
| Last Modified: | 16 Feb 2012 12:15 |
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