Abstract
In this paper, we establish a family of rotational and self-similar solutions for the Euler equations for generalized Chaplygin gas which occurs in cosmology model as a unification of dark matter and dark energy. By analyzing a system of ordinary differential equations, we show that our family of solutions blows up on finite time in 4 cases out of 6 according to the classification of parameters. Copyright © 2016 Research India Publications.
Original language | English |
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Pages (from-to) | 317-330 |
Journal | Advances in Theoretical and Applied Mathematics (ATAM) |
Volume | 11 |
Issue number | 4 |
Publication status | Published - 2016 |
Citation
Cheung, K. L. (2016). Rotational and self-similar blowup solutions for the Euler equations for generalized chaplygin gas. Advances in Theoretical and Applied Mathematics, 11(4), 317-330.Keywords
- Rotational
- Self-similar
- Blowup
- Euler equations
- Generalized
- Chaplygin gas