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.
|Journal||Advances in Theoretical and Applied Mathematics (ATAM)|
|Publication status||Published - 2016|
CitationCheung, 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.
- Euler equations
- Chaplygin gas