Analysis of an equation describing large-scale structure formation

  • Alan Rendall (MPI für Gravitationsphysik)
A3 01 (Sophus-Lie room)


The subject of this talk is a linear hyperbolic equation which arises in cosmological perturbation theory. I will describe work of Paul Allen and myself in which we determine the asymptotics of solutions of this equation. The equation is defined for positive times with a singularity at the origin. We have studied the asymptotics both in the approach to the origin and at late times. The coefficients of the equation depend on a function which represents the equation of state of a fluid. In some cases it is possible to parametrize all solutions by the coefficient functions in the asymptotic expansions in either of the asymptotic regimes.

Anne Dornfeld

MPI for Mathematics in the Sciences Contact via Mail

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