Abstract
We obtain some blowup results of the Euler equations for Generalized Chaplygin Gas (GCG). In particular, we show that the solutions with velocity of the form u(t, x) = a(t) ˙/ a(t) x blow up on finite time if the parameter of the ordinary differential equation related to a(t) is negative. Moreover, by the substitution and perturbation methods, we construct a family of non-spherical symmetric blowup solutions for the one dimensional GCG system. Copyright © 2016 Research India Publications.
| Original language | English |
|---|---|
| Pages (from-to) | 1-16 |
| Journal | Advances in Theoretical and Applied Mathematics |
| Volume | 11 |
| Issue number | 1 |
| Publication status | Published - 2016 |
Citation
Cheung, K. L. (2016). On blowup phenomenon of solutions to the Euler equations for generalized chaplygin gas. Advances in Theoretical and Applied Mathematics, 11(1), 1-16.Keywords
- Blowup
- Spherical Symmetry
- Euler equations
- Trivial Solutions
- Generalized
- Chaplygin Gas