Linear degeneracy of the first-order generalized-harmonic Einstein system

DOI10.1088/1361-6382/ab0d36zbMath1476.83008arXiv1903.00140OpenAlexW3099147373WikidataQ128262807 ScholiaQ128262807MaRDI QIDQ5152928

Lee Lindblom, Liwei Ji, Zhoujian Cao

Publication date: 28 September 2021

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.00140

zbMATH Keywords

shock formationnumerical relativityEinstein's equation

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Wave front sets in context of PDEs (35A18) Mathematical modeling or simulation for problems pertaining to relativity and gravitational theory (83-10)

Cites Work

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• Development of singularities in the nonlinear waves for quasi-linear hyperbolic partial differential equations
• Weak linear degeneracy and global classical solutions for general quasilinear hyperbolic systems
• Application of local discontinuous Galerkin method to Einstein equations
• A new generalized harmonic evolution system

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