The blowup phenomenon for the N-dimensional isentropic compressible Euler equations for generalized chaplygin gas (GCG), which arises in a cosmology model related to dark matter and dark energy, is investigated. First, we establish the finite propagation speed property for the system. This allows one to apply the integration method to study the blowup problem. More precisely, by deriving a differential inequality, we show the any C¹ solution in a designed non-empty space blows up on finite time provided that the initial functional is sufficiently large. Copyright © 2017 Research India Publications.
|Journal||Advances in Theoretical and Applied Mathematics (ATAM)|
|Publication status||Published - 2017|
CitationCheung, K. L. (2017). Finite propagation speed and finite time blowup of the Euler equations for generalized chaplygin gas. Advances in Theoretical and Applied Mathematics, 12(1), 51-63.
- Euler equations
- Finite propagation speed