An existence theorem for perturbed Newtonian cosmological models

DOI10.1063/1.529734zbMath0748.76113OpenAlexW1994147921MaRDI QIDQ4008259

Uwe Brauer

Publication date: 27 September 1992

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.529734

zbMATH Keywords

Euler-Poisson systemspatially periodic solutionsinhomogeneous models

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Quantum hydrodynamics and relativistic hydrodynamics (76Y05)

Related Items

Global existence of classical solutions to the Vlasov-Poisson system in a three-dimensional, cosmological setting, Newtonian cosmology in Lagrangian formulation: Foundations and perturbation theory, Continuity of the flow map for symmetric hyperbolic systems and its application to the Euler-Poisson system, The hydrodynamical limit of the Vlasov-Poisson system, On the Newtonian limit of the Weyl tensor, Breakdown of smooth solutions of the three-dimensional Euler–Poisson system

Cites Work

• The Cauchy problem for quasi-linear symmetric hyperbolic systems
• The Einstein evolution equations as a first-order quasi-linear symmetric hyperbolic system. I
• Reduction of the characteristic initial value problem to the Cauchy problem and its applications to the Einstein equations
• A class of solutions for self-gravitating dust in Newtonian gravity
• Existence of finitely perturbed Friedmann models via the Cauchy problem