Speaker
Description
We investigate the asymptotic behaviour of solutions to the Euler equations on fixed Kasner-type backgrounds. In particular, we focus on backgrounds with a non-constant multiplicity and non-constant fluid-type. i.e., backgrounds for which the Kasner exponents and the speed-of-sound-squared do not have a fixed ordering over the spatial manifold. The primary focus here is on developing an understanding of how the underlying geometry effects the dynamical behaviour of the fluid both in terms of the fluid flow and the density distribution. We provide an exact spatially homogenous solution of the Euler equations on a generic modified-Kasner background which is then used to provide a heuristic understanding of spatially inhomogeneous solutions of the Euler equations. In addition, we provide numerous numerical examples of fluids on spatially inhomogeneous backgrounds, exploring the various type of phenomena that can occur.
| Research Area | Mathematical and Numerical Relativity |
|---|