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We show that the GENERIC model for relativistic heat conduction is a multifluid of Carter. This allows one to compute the multifluid constitutive relations directly from the GENERIC formalism. As a quick application, we prove that, in the…

Nuclear Theory · Physics 2024-01-09 Lorenzo Gavassino

Hydrodynamics can be formulated in terms of a perturbative series in derivatives of the temperature, chemical potential, and flow velocity around an equilibrium state. Different formulations for this series have been proposed over the…

Nuclear Theory · Physics 2022-08-24 Gabriel S. Rocha , Gabriel S. Denicol , Jorge Noronha

We study low-speed flows of a highly compressible, single-phase fluid in the presence of gravity, for example in a regime appropriate for modeling recent space-shuttle experiments on fluids near the liquid-vapor critical point. In the…

Fluid Dynamics · Physics 2007-05-23 Diane L. Denny , Robert L. Pego

We provide a quick overview of various calculus tools and of the main results concerning the heat flow on compact metric measure spaces, with applications to spaces with lower Ricci curvature bounds. Topics include the Hopf-Lax semigroup…

Analysis of PDEs · Mathematics 2012-05-16 Luigi Ambrosio , Nicola Gigli , Giuseppe Savaré

The purpose of this paper is to study the transport equation and its coupling with Maxwell equation in the framework of R^n gravity. Using Muller-Israel-Stewart theory for the conduction of dissipative fluids, we analyze the temperature,…

General Relativity and Quantum Cosmology · Physics 2017-05-22 Hafiza Rizwana Kausar

Laboratory experiments were conducted to study heat transport characteristics in a nonhomogeneously heated fluid annulus subjected to rotation along the vertical axis (z). The nonhomogeneous heating was obtained by imposing radial and…

There has been recent progress in developing well-posed theories of relativistic viscous hydrodynamics and of gravitational effective field theories. These have in common the feature that they introduce unphysical degrees of freedom. We…

General Relativity and Quantum Cosmology · Physics 2026-02-17 Lorenzo Gavassino , Áron D. Kovács , Harvey S. Reall

We construct the general theory of first-order relativistic hydrodynamics for a fluid exhibiting a chiral anomaly, including all possible viscous terms allowed by symmetry. Using standard techniques, we compute the necessary and sufficient…

Nuclear Theory · Physics 2023-12-18 Nick Abboud , Enrico Speranza , Jorge Noronha

In this work, the causality and stability of a first-order relativistic dissipative hydrodynamic theory, that redefines the hydrodynamic fields from a first principle microscopic estimation, have been analyzed. A generic approach of…

Nuclear Theory · Physics 2022-06-08 Sukanya Mitra

In this paper, effect of physical parameters in presence of magnetic field on heat transfer and flow of third grade non-Newtonian Nanofluid in a porous medium with annular cross sectional analytically has been investigated. The viscosity of…

We consider two hydrodynamic model problems (one incompressible and one compressible) with three dimensional fluid flow on the torus and temperature-dependent viscosity and conductivity. The ambient heat for the fluid is transported by the…

Analysis of PDEs · Mathematics 2017-02-28 Andrei Tarfulea

Looking for the underlying hydrodynamic mechanisms determining the elliptic flow we show that for an expanding relativistic perfect fluid the transverse flow may derive from a solvable hydrodynamic potential, if the entropy is transversally…

Nuclear Theory · Physics 2009-09-24 Robi Peschanski , Emmanuel N. Saridakis

We derive a linearly causal and stable third-order relativistic fluid-dynamical theory from the Boltzmann equation using the method of moments. For this purpose, we demonstrate that such theory must include novel degrees of freedom,…

Nuclear Theory · Physics 2023-02-21 Caio V. P. de Brito , Gabriel S. Denicol

Gravity currents are a ubiquitous density driven flow occurring in both the natural environment and in industry. They include: seafloor turbidity currents, primary vectors of sediment, nutrient and pollutant transport; cold fronts; and…

Fluid Dynamics · Physics 2025-02-28 Edward W. G. Skevington , Robert M. Dorrell

We present the equations of relativistic hydrodynamics coupled to dynamical electromagnetic fields, including the effects of polarization, electric fields, and the derivative expansion. We enumerate the transport coefficients at leading…

High Energy Physics - Theory · Physics 2017-08-10 Juan Hernandez , Pavel Kovtun

We study the linear response of relativistic superfluids with a non-zero superfluid velocity. For sufficiently large superflow, an instability develops via the crossing of a pole of the retarded Green's functions to the upper half complex…

High Energy Physics - Theory · Physics 2023-12-14 Daniel Areán , Blaise Goutéraux , Eric Mefford , Filippo Sottovia

We solve the Einstein constraint equations for a first-order causal viscous relativistic hydrodynamic theory in the case of a conformal fluid. For such a theory, a direct application of the conformal method does not lead to a decoupling of…

General Relativity and Quantum Cosmology · Physics 2024-06-27 Marcelo M. Disconzi , James Isenberg , David Maxwell

We review recent interest in the relativistic Riemann problem as a method for generating a non-equilibrium steady state. In the version of the problem under con- sideration, the initial conditions consist of a planar interface between two…

High Energy Physics - Theory · Physics 2016-11-23 Michael Spillane , Christopher P. Herzog

Relativistic non-ideal fluid dynamics is formulated in 3+1 space--time dimensions. The equations governing dissipative relativistic hydrodynamics are given in terms of the time and the 3-space quantities which correspond to those familiar…

Nuclear Theory · Physics 2008-11-26 Azwinndini Muronga

Discovery of a novel thermodynamic aspect of nonrelativistic gravity is reported. Here, initially, an unspecified scalar field potential is considered and treated not as an externally applied field but as a thermodynamic variable on an…

Statistical Mechanics · Physics 2021-11-10 Peter Ván , Sumiyoshi Abe
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