The Newtonian limit for perfect fluids

DOI10.1007/s00220-007-0334-zzbMath1194.83018arXiv0810.3744OpenAlexW3098529974MaRDI QIDQ2466825

Todd Andrew Oliynyk

Publication date: 16 January 2008

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

Full work available at URL: https://arxiv.org/abs/0810.3744

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) PDEs in connection with relativity and gravitational theory (35Q75) Quantum hydrodynamics and relativistic hydrodynamics (76Y05)

Related Items (20)

Dynamical compact elastic bodies in general relativity ⋮ Cosmological Newtonian limits on large spacetime scales ⋮ A note on incompressibility of relativistic fluids and the instantaneity of their pressures ⋮ Post-Newtonian expansions for perfect fluids ⋮ On slowly rotating axisymmetric solutions of the Einstein-Euler equations ⋮ Future stability of the FLRW spacetime for a large class of perfect fluids ⋮ Local existence of solutions to the Euler-Poisson system, including densities without compact support ⋮ Local existence of solutions of self gravitating relativistic perfect fluids ⋮ Blowups and Longtime Developments with Near-Boundary Mass Accretions of Irregularly Shaped Euler–Poisson Dominated Molecular Clouds in Astrophysics ⋮ On the well-posedness of the vacuum Einstein's equations ⋮ Mathematical general relativity ⋮ Local existence of solutions to the Euler-Poisson system, including densities without compact support ⋮ Cosmological post-Newtonian expansions to arbitrary order ⋮ Newtonian limits of isolated cosmological systems on long time scales ⋮ A RIGOROUS FORMULATION OF THE COSMOLOGICAL NEWTONIAN LIMIT WITHOUT AVERAGING ⋮ The Newtonian limit on cosmological scales ⋮ A post-Newtonian expansion including radiation damping for a collisionless plasma ⋮ THE NON-RELATIVISTIC LIMIT OF THE EULER–NORDSTRÖM SYSTEM WITH COSMOLOGICAL CONSTANT ⋮ Newtonian limit for the relativistic Euler-Poisson equations with vacuum ⋮ Existence of families of spacetimes with a Newtonian limit

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