☆ 4.7 Article

Nonexistence and existence of shock profiles in the Bemfica-Disconzi-Noronha model

PHYSICAL REVIEW D (2021)

Decay and subluminality of modes of all wave numbers in the relativistic dynamics of viscous and heat conductive fluids

Heinrich Freistuehler et al.

Summary: This paper investigates the causal and stable properties of a second-order hyperbolic system of partial differential equations modeling relativistic dynamics of barotropic fluids, showing decay and subluminal propagation of Fourier-Laplace modes in arbitrary Lorentz frames. The stability of related non-barotropic fluid models is also demonstrated. Analytical proofs provided in this study appear to be the first regarding any four-field formulation of dissipative relativistic fluid dynamics.

JOURNAL OF MATHEMATICAL PHYSICS (2021)

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Article Physics, Mathematical

A class of Hadamard well-posed five-field theories of dissipative relativistic fluid dynamics

Heinrich Freistuehler

JOURNAL OF MATHEMATICAL PHYSICS (2020)

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Article Mathematics, Applied

DEPENDENCE ON THE BACKGROUND VISCOSITY OF SOLUTIONS TO A PROTOTYPICAL NONSTRICTLY HYPERBOLIC SYSTEM OF CONSERVATION LAWS

Heinrich Freistuehler et al.

SIAM JOURNAL ON MATHEMATICAL ANALYSIS (2020)

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Article Physics, Particles & Fields

First-order relativistic hydrodynamics is stable

Pavel Kovtun

JOURNAL OF HIGH ENERGY PHYSICS (2019)

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Article Physics, Mathematical

Causal dissipation in the relativistic dynamics of barotropic fluids

Heinrich Freistuehler et al.

JOURNAL OF MATHEMATICAL PHYSICS (2018)

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Article Astronomy & Astrophysics

Causality and existence of solutions of relativistic viscous fluid dynamics with gravity

Fabio S. Bemfica et al.

PHYSICAL REVIEW D (2018)

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Article Multidisciplinary Sciences

Causal dissipation and shock profiles in the relativistic fluid dynamics of pure radiation

Heinrich Freistuehler et al.

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2014)

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Nonexistence and existence of shock profiles in the Bemfica-Disconzi-Noronha model

相关参考文献

Decay and subluminality of modes of all wave numbers in the relativistic dynamics of viscous and heat conductive fluids

A class of Hadamard well-posed five-field theories of dissipative relativistic fluid dynamics

DEPENDENCE ON THE BACKGROUND VISCOSITY OF SOLUTIONS TO A PROTOTYPICAL NONSTRICTLY HYPERBOLIC SYSTEM OF CONSERVATION LAWS

First-order relativistic hydrodynamics is stable

Causal dissipation in the relativistic dynamics of barotropic fluids

Causality and existence of solutions of relativistic viscous fluid dynamics with gravity

Causal dissipation and shock profiles in the relativistic fluid dynamics of pure radiation

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