Global existence and exponential decay for hyperbolic dissipative relativistic fluid theories

DOI10.1063/1.531940zbMath0943.76097arXivgr-qc/9702008OpenAlexW3102163656MaRDI QIDQ4379264

Omar E. Ortiz, Heinz-Otto Kreiss, Gabriel B. Nagy, Oscar A. Reula

Publication date: 10 September 2000

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

Full work available at URL: https://arxiv.org/abs/gr-qc/9702008

zbMATH Keywords

global existencegeneral relativitydissipative relativistic fluidentropy laweigenvalues with strictly negative real partsflat compact globally hyperbolic Lorentzian manifoldgeneral stability theorem

Mathematics Subject Classification ID

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) Hyperbolic equations on manifolds (58J45)

Related Items (9)

Hyperbolic methods for Einstein's equations ⋮ On the locally rotationally symmetric Einstein-Maxwell perfect fluid ⋮ On the illposedness and stability of the relativistic heat equation ⋮ Local well-posedness in Sobolev spaces for first-order barotropic causal relativistic viscous hydrodynamics ⋮ Relativistic fluid dynamics: physics for many different scales ⋮ Relativistic fluid dynamics: physics for many different scales ⋮ On the well-posedness of relativistic viscous fluids with non-zero vorticity ⋮ On a viable first-order formulation of relativistic viscous fluids and its applications to cosmology ⋮ On extended thermodynamics: From classical to the relativistic regime

Cites Work

• Global existence and asymptotics of the solutions of the second-order quasilinear hyperbolic equations with the first-order dissipation
• The relaxation effect in dissipative relativistic fluid theories
• Causal theories of dissipative relativistic fluids
• Relativistic theories of dissipative fluids

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