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Perfect Incompressible Fluids

1998
Abstract The aim of this book is to offer a direct and self-contained access to some of the new or recent results in fluid mechanics. It gives an authoritative account on the theory of the Euler equations describing a perfect incompressible fluid.
Jean-Yves Chemin   +2 more
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Nearly perfect quark–gluon fluid

Nature Physics, 2019
A statistical analysis of data from ultra-relativistic heavy-ion collisions has uncovered the specific viscosities of the quark–gluon plasma — suggesting that the hottest matter in the current Universe behaves like a near-perfect fluid.
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Static perfect fluid cylinders

Journal of Mathematical Physics, 1998
The field equations for cylindrically symmetric perfect fluid models with a non-scale invariant equation of state where the energy density is linearly related to the pressure are rewritten as a set of first order coupled ordinary differential equations. Variables are chosen such that the resulting phase space is compact and everywhere regular.
Nilsson, Ulf S.   +2 more
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Inhomogeneous perfect fluid cosmologies

Classical and Quantum Gravity, 1992
Summary: We analyze inhomogeneous perfect fluid models obeying a \(\gamma\) law equation of state and admitting an Abelian two-dimensional group of motions with two hypersurface-orthogonal Killing vectors. The models are asymptotically self-similar and generalize a recently found non-singular solution with \(\gamma=4/3\).
van den Bergh, N., Skea, J.
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Perfect-fluid cosmologies with extra dimensions

Physical Review D, 1988
We give an analysis of the solutions of the n-dimensional vacuum Einstein equations with a metric in the form of a direct sum of a Friedmann-Robertson-Walker (FRW) metric and a Kasner-type Euclidean metric. The solutions are interpreted as four-dimensional perfect-fluid cosmological FRW models, using the simple ansatz proposed by Ib\'an\ifmmode \tilde{}
, Gleiser, , Diaz
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Projective symmetry in perfect fluid spacetimes

Classical and Quantum Gravity, 2002
Summary: Following a study of projective symmetry in Friedmann-Robertson-Walker models in \textit{G. S. Hall} [Classical Quantum Gravity 17, 4637-4644 (2000; Zbl 0988.83015)], it is shown (theorem 2) that the only conformally flat, perfect fluid spacetimes admitting such symmetry are, essentially, (locally) of the Friedmann-Robertson-Walker type.
Hall, G. S., Patel, M. T.
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Relativistic Non-Perfect Fluids

2013
AbstractThis chapter deals with non-perfect fluids, namely those fluids for which viscous effects and heat fluxes cannot be neglected. After a discussion about the most convenient definition of four-velocity, the energy–momentum tensor of non-perfect fluids is introduced and the general form of the relativistic hydrodynamics equations is derived.
Luciano Rezzolla, Olindo Zanotti
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Stationary perfect fluid cylinders

Classical and Quantum Gravity, 1999
Summary: Using the formalism of \textit{D. Kramer} [Classical Quantum Gravity 5, 393-398 (1988; Zbl 0637.76135)] for the stationary, cylindrically symmetric and rigidity rotating perfect fluid, two models are derived explicitly. The solutions are regular on the axis and the energy conditions are satisfied for a certain range of the angular velocity. In
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The perfect gyroscopic fluid

Annals of Physics, 1972
Abstract A simple model of gyroscopic fluid behavior in two dimensions, for fluids with internal angular momentum, is developed in general and is then applied to a guiding-center plasma with finite-orbit corrections. Emphasis is placed on problems of wave propagation and stability, and on certain questions of symmetry associated with the property of ...
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Lanczos Potential and Perfect Fluid Spacetimes

International Journal of Theoretical Physics, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ahsan, Zafar, Bilal, Mohd
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