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.
|Journal||Advances in Theoretical and Applied Mathematics|
|Publication status||Published - 2016|
Ordinary differential equation
CitationCheung, 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.
- Spherical Symmetry
- Euler equations
- Trivial Solutions
- Chaplygin Gas