In this paper, we establish a global existence (GE) result for the three‐dimensional compressible Euler equations (CEE) for generalized Chaplygin gas (GCG) with damping. More precisely, by transforming the three‐dimensional CEE for GCG with damping to a symmetric hyperbolic system, one shows that the total energy in H³ is strictly decaying with time for any sufficiently small initial data. As a result, the GE result follows from the local well‐posedness of the system in H³. This gives the first GE result relating to the three‐dimensional CEE. Copyright © 2020 John Wiley & Sons, Ltd.
CitationCheung, K. L. (2021). Global existence of the three‐dimensional compressible Euler equations for generalized Chaplygin gas with damping. Mathematical Methods in the Applied Sciences, 44(2), 1176-1184. doi: 10.1002/mma.6819
- Compressible Euler equations
- Generalized Chaplygin gas
- Global existence