WELL-POSEDNESS FOR THE EULER–NORDSTRÖM SYSTEM WITH COSMOLOGICAL CONSTANT

DOI10.1142/S0219891609001885zbMath1194.35245arXiv0802.2090OpenAlexW2962956105MaRDI QIDQ3397583

Jared Speck

Publication date: 22 September 2009

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.2090

zbMATH Keywords

Sobolev spacesrelativistic perfect fluidNordström's scalar theory of gravityquasilinear hyperbolic system of PDEs

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) First-order nonlinear hyperbolic equations (35L60) PDEs in connection with relativity and gravitational theory (35Q75) First-order hyperbolic systems (35L40)

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Cites Work

• Unnamed Item
• Global classical solutions to the 3D Nordström-Vlasov system
• The Cauchy problem for quasi-linear symmetric hyperbolic systems
• The ``Jeans swindle: a true story -- mathematically speaking.
• Self-gravitating relativistic fluids: A two-phase model
• Local smooth solutions of the relativistic Euler equation. II
• Linear evolution equations of hyperbolic type. II
• Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids
• The initial value problem for a class of general relativistic fluid bodies
• Tensor-multi-scalar theories of gravitation
• Spherically symmetric steady states of galactic dynamics in scalar gravity
• Functional Analysis
• The Action Principle and Partial Differential Equations. (AM-146)
• Symmetric hyperbolic linear differential equations