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We describe the cosmological dynamics of perfect fluids within the framework of effective field theories. The effective action is a derivative expansion whose terms are selected by the symmetry requirements on the relevant long-distance…

High Energy Physics - Theory · Physics 2013-05-23 Guillermo Ballesteros , Brando Bellazzini

In this work we will focus on the existence of weak solutions for a system describing a general compressible viscous fluid in the case of the pressure being a linear function of the density and the viscous stress tensor being a non-linear…

Analysis of PDEs · Mathematics 2022-05-11 Danica Basarić

We show that f(R)-gravity can, in general, give rise to cosmological viable models compatible with a matter-dominated epoch evolving into a late accelerated phase. We discuss the various representations of f(R)-gravity as an ideal fluid or…

Astrophysics · Physics 2008-11-26 S. Capozziello , S. Nojiri , S. D. Odintsov , A. Troisi

A correspondence between fluctuations of non-minimally coupled scalar fields and that of an effective fluid with heat flux and anisotropic stresses, is shown. Though the correspondence between respective stress tensors of scalar fields and…

General Relativity and Quantum Cosmology · Physics 2022-05-18 Seema Satin

Considering the growing interest of the astrophysicist community in the study of dissipative fluids with the aim of getting a more realistic description of the universe, we present in this paper a physical analysis of the energy-momentum…

General Relativity and Quantum Cosmology · Physics 2016-09-15 Oscar M. Pimentel , Guillermo A. González , F. D. Lora-Clavijo

We consider the motion of an inviscid compressible fluid under the mutual interactions with magnetic field. We show that the initial value problem is ill--posed in the class of weak solutions for a large class of physically admissible data.…

Analysis of PDEs · Mathematics 2020-01-08 Eduard Feireisl , Yang Li

The exact 1+3 covariant dynamical fluid equations for a multi-component plasma, together with Maxwell's equations are presented in such a way as to make them suitable for a gauge-invariant analysis of linear density and velocity…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Mattias Marklund , Peter K. S. Dunsby , Gerold Betschart , Martin Servin , Christos Tsagas

We propose a new approach to models of general compressible viscous fluids based on the concept of dissipative solutions. These are weak solutions satisfying the underlying equations modulo a defect measure. A dissipative solution coincides…

Analysis of PDEs · Mathematics 2020-01-01 Anna Abbatiello , Eduard Feireisl , Antonin Novotny

The electromagnetic string fluid (EMSF) is an anisotropic charged string fluid interacting with a strong magnetic field. In this fluid we consider the double congruence defined by the 4-velocity of the fluid $u^a$ and the unit vector $n^a$…

General Relativity and Quantum Cosmology · Physics 2018-12-26 Michael Tsamparlis , Antonios Mitsopoulos , Andronikos Paliathanasis

This paper introduces a novel data driven framework for constructing accurate and general equivariant models of multiscale phenomena which does not rely on specific assumptions about the underlying physics. This framework is illustrated…

Fluid Dynamics · Physics 2026-04-15 Brandon Choi , Matteo Ugliotti , Mateo Reynoso , Daniel R. Gurevich , Roman O. Grigoriev

Gravitational models with non-minimal couplings involving the trace of the energy-momentum tensor have become increasingly popular. The idea of coupling the trace of the matter tensor to the geometry can be applied to various matter models,…

General Relativity and Quantum Cosmology · Physics 2025-12-30 Christian G. Boehmer , Eissa Al-Nasrallah

The irrotational motion of a compressible inviscid fluid is studied in the field of analogue gravity, where its metric is compared to that in general relativity, a fluid analogue of an evaporating black hole has been realized…

General Physics · Physics 2013-02-01 Robert Brady

We combine Maxwell's equations with Eulers's equation, related to a velocity field of an immaterial fluid, where the density of mass is replaced by a charge density. We come out with a differential system able to describe a relevant…

General Physics · Physics 2009-11-26 Daniele Funaro

We revisit the issue of the fluid description of minimally coupled scalar fields. While in a cosmological setup the interpretation of a time-evolving scalar field as a perfect fluid is well-understood, the situation is more intricate when…

General Relativity and Quantum Cosmology · Physics 2020-07-21 Cecília Gergely , Zoltán Keresztes , László Árpád Gergely

These lectures start with the mean field theory for a symmetric binary fluid mixture, addressing interfacial tension, the stress tensor, and the equations of motion (Model H). We then consider the phase separation kinetics of such a…

Soft Condensed Matter · Physics 2012-09-12 M. E. Cates

Mixing a passive scalar field by stirring can be measured in a variety of ways including tracer particle dispersion, via the flux-gradient relationship, or by suppression of scalar concentration variations in the presence of inhomogeneous…

Fluid Dynamics · Physics 2010-11-08 Zhi Lin , Katarína Bodová , Charles R. Doering

By using a solution ansatz we partially decouple the metric and the Stuckelberg sectors of the minimal massive gravity (MMGR). In this scheme for a diagonal physical metric we find the general solutions for the scalars of the theory and the…

High Energy Physics - Theory · Physics 2015-05-19 Nejat Tevfik Yilmaz

The effective surface dilatational viscosity is calculated of a flat interface separating two immiscible fluids laden with half-immersed monodisperse rigid spherical non-Brownian particles in the limit of high particle concentration. The…

Soft Condensed Matter · Physics 2014-11-19 S. V. Lishchuk

Gravitational waves provide a new probe into the strong-field regime of gravity. It is thus essential to identify the predictions of General Relativity on the nature of the two-body problem, and to contrast them to alternative theories.…

General Relativity and Quantum Cosmology · Physics 2020-10-14 Adrien Kuntz

The full set of equations governing the structure and the evolution of self--gravitating spherically symmetric dissipative fluids with anisotropic stresses, is written down in terms of five scalar quantities obtained from the orthogonal…

General Relativity and Quantum Cosmology · Physics 2011-07-19 L. Herrera , J. Ospino , A. Di Prisco , E. Fuenmayor , O. Troconis