In this paper we consider a coupled Wave-Klein—Gordon system in 3D, and prove global regularity and modified scattering for small and smooth initial data with suitable decay at infinity. This system was derived by Wang and LeFloch—Ma as a simplified model for the global nonlinear stability of the Minkowski space-time for self-gravitating massive fields.
All Science Journal Classification (ASJC) codes
- Applied Mathematics
- Quasilinear Klein—Gordon equations
- modified scattering
- systems of wave and Klein–Gordon equations