Vorticity in pancake models

Details Vorticity in pancake models Vorticity in pancake models

Dec 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992daec.conf..281b&link_type=abstract

In Distribution of Matter in the Universe, 2nd DAEC mtg, ed. G.A. Mamon and D. Gerbal (Meudon: Obs. de Paris) p. 281-286

Physics

1

Scientific paper

The linear theory of gravitational instability predicts that vorticity is damped by the universal expansion. However, the application of the linear solution to the non-linear regime is incorrect. We discuss the general evolution of the vorticity, which shows that the vorticity is coupled to the density enhancement in the non-linear regime and develops singularities simultaneously to the density field. We present an approximate theory, which allows to follow the motion of a rotational fluid into the non-linear regime generalizing the so-called "Zel'dovich approximation", and apply the vorticity transport equation to this approximation.

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