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Within the framework of continuum mechanics, the full description Of joint motion of elastic bodies and compressible viscous fluids with taking into account thermal effects is given by the system consisting of the mass, momentum, and energy…

Analysis of PDEs · Mathematics 2007-05-23 Anvarbek M. Meirmanov , Sergei A. Sazhenkov

A general formalism for obtaining the Lagrangian and Hamiltonian for a one dimensional dissipative system is developed. The formalism is illustrated by applying it to the case of a relativistic particle with linear dissipation. The…

Quantum Physics · Physics 2007-05-23 G. Gonzalez

We apply the 1+1+2 covariant approach to describe a general static and spherically symmetric relativistic stellar object which contains two interacting fluids. We then use the 1+1+2 equations to derive the corresponding…

General Relativity and Quantum Cosmology · Physics 2021-08-11 Nolene F. Naidu , Sante Carloni , Peter Dunsby

A variational principle for two-fluid mixtures is proposed. The Lagrangian is constructed as the difference between the kinetic energy of the mixture and a thermodynamic potential conjugated to the internal energy with respect to the…

Classical Physics · Physics 2008-02-06 Sergey Gavrilyuk , Henri Gouin , Yurii Perepechko

Two interaction mechanisms of particles in a fluid are proposed on base of forces, mediated by hydrodynamic thermal fluctuations. The first one is similar to the conventional van der Waals interaction, but instead of been mediated by…

Soft Condensed Matter · Physics 2009-11-07 B. I. Ivlev

This paper revisits the problem of heat conduction in relativistic fluids, associated with issues concerning both stability and causality. It has long been known that the problem requires information involving second order deviations from…

General Relativity and Quantum Cosmology · Physics 2015-05-28 N. Andersson , C. Lopez-Monsalvo

We study the non-equilibrium steady-states of a one-dimensional ($1D1V$) fluid in a finite space region of length $L$. Particles interact among themselves by multi-particle collisions and are in contact with two thermal-wall heat…

Statistical Mechanics · Physics 2021-03-08 Stefano Lepri , Guido Ciraolo , Pierfrancesco Di Cintio , Jamie Gunn , Roberto Livi

The article proposes a causal five-field formulation of dissipative relativistic fluid dynamics as a quasilinear symmetric hyperbolic system of second order. The system is determined by four dissipation coefficients eta, zeta, kappa, mu,…

Mathematical Physics · Physics 2023-01-16 Heinrich Freistuhler

In this paper we emphasize some conceptual points related to the kinetic foundations of relativistic hydrodynamics. We summarize previous work and focus on the construction of the heat flux from a kinetic theory point of view. A thorough…

General Relativity and Quantum Cosmology · Physics 2014-11-18 A. L. Garcia-Perciante , A. Sandoval-Villalbazo

A non-relativistic multi-fluid plasma axisymmetric equilibrium model was developed recently to account for the presence of an energetic electron fluid in addition to thermal electron and ion fluids. The equilibrium formulation of a…

Plasma Physics · Physics 2021-03-31 Akio Ishida , Y. -K. Martin Peng , Wenjun Liu

The flow of the relativistic imperfect fluid in two dimensions is discussed. We calculate the symmetry group of the energy-momentum tensor conservation equation in the ultrarelativistic limit. Group-invariant solutions for the…

Fluid Dynamics · Physics 2008-11-06 C Alexa , D Vrinceanu

Our current understanding of the Universe depends on the interplay of several distinct "matter" components, which interact mainly through gravity, and electromagnetic radiation. The nature of the different components, and possible…

General Relativity and Quantum Cosmology · Physics 2012-08-28 G. L. Comer , Patrick Peter , N. Andersson

A generalized reciprocal theorem is formulated for the motion and hydrodynamic force moments of an active particle in an arbitrary background flow of a (weakly nonlinear) complex fluid. This formalism includes as special cases a number of…

Fluid Dynamics · Physics 2017-10-11 Gwynn J. Elfring

General formulation of hydrodynamics describing transversally thermalized matter created at the early stages of ultra-relativistic heavy-ion collisions is presented. Similarities and differences with the standard three-dimensionally…

Nuclear Theory · Physics 2008-11-26 Radoslaw Ryblewski , Wojciech Florkowski

We discuss the thermal conduction and convection of thermally relativistic fluids between two parallel walls under the gravitational force, both theoretically and numerically. In the theoretical discussion, we assume that the Lorentz…

Fluid Dynamics · Physics 2015-08-24 Ryosuke Yano

We consider a simple model of an internally driven self-rotating object; a rotor, confined to two dimensions by a thin film of low Reynolds number fluid. We undertake a detailed study of the hydrodynamic interactions between a pair of…

Soft Condensed Matter · Physics 2015-05-20 M. Leoni , T. B. Liverpool

We consider the physical setup of a three-dimensional fluid-structure interaction problem. A viscous compressible gas or liquid interacts with a nonlinear, visco-elastic, three-dimensional bulk solid. The latter is described by a hyperbolic…

Analysis of PDEs · Mathematics 2021-08-09 Dominic Breit , Malte Kampschulte , Sebastian Schwarzacher

A general diffuse interface model with a realistic equation of state (e.g. Peng-Robinson equation of state) is proposed to describe the multi-component two-phase fluid flow based on the principles of the NVT-based framework which is a…

Numerical Analysis · Mathematics 2016-11-29 Jisheng Kou , Shuyu Sun

The spin polarization measurements of particles emitted in heavy-ion collisions have opened the possibility for new phenomenological investigations of spin physics in relativistic fluids. The theoretical predictions of global polarization…

Nuclear Theory · Physics 2022-12-13 M. Buzzegoli , F. Becattini , G. Inghirami , I. Karpenko , A. Palermo

The fluidity of the hot and dense QCD matter is a key characteristic of the medium created in high-energy heavy-ion collisions. We extend the framework of the relativistic hydrodynamic model to incorporate non-thermal momentum distributions…

Nuclear Theory · Physics 2025-10-22 Akihiko Monnai