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Nonlinear Evolution of Acoustic Waves in Dust Interacting with Dark Matter in Newtonian Cosmology: Biasing, Voids, and the Kadomtsev-Petviashvili Equation

Published online by Cambridge University Press:  03 August 2017

Ronald E. Kates*
Affiliation:
Max-Planck-Institut für Astrophysik, Karl-Schwarzschild-Straße 1, D–8046 Garching b. München

Abstract

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This paper shows that the Kadomtsev -Petvlashvili equation of type I governs the evolution of certain weakly nonlinear fluctuations on a staticor very slowly varying cosmological background. The model consists of a mixture of nonrelativistic, collisionless (here after called “dark”) matter at nonzero temperature together with a smaller amount of zero-temperature rotation- free dust. The two components are coupled only by gravitational forces.

Type
Appendix 1: Poster Papers
Copyright
Copyright © Reidel 1988