The large scale structure of the universe I. General properties. One-and two-dimensional models

DOI10.1080/03091928208209001zbMath0542.76058OpenAlexW1981948036WikidataQ114640695 ScholiaQ114640695MaRDI QIDQ3330786

Sergei F. Shandarin, Yakov Borisovich Zel'dovich, Vladimir I. Arnold

Publication date: 1982

Published in: Geophysical & Astrophysical Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03091928208209001

zbMATH Keywords

cuspcatastrophe theoryLagrangian systemsformation of singularitiespancakeFriedmann Universebeak-to- beakcold self-gravitating mediumdistribution of densityEvolution of initially smooth perturbationsnonlinear theory of gravitational instabilityoblate shapeswallow-tail

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Galactic and stellar dynamics (85A05) Stability and instability of geophysical and astrophysical flows (76E20)

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Cites Work

• Normal forms for functions near degenerate critical points, the Weyl groups of A\(_k\), D\(_k\), E\(_k\) and lagrangian singularities
• Two-dimensional simulation of the gravitational system dynamics and formation of the large-scale structure of the Universe
• Wave front evolution and equivariant Morse lemma