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This paper is devoted to study the controllability of a one-dimensional fluid-particle interaction model where the fluid follows the viscous Burgers equation and the point mass obeys Newton's second law. We prove the null controllability…

偏微分方程分析 · 数学 2020-04-14 Mythily Ramaswamy , Arnab Roy , Takéo Takahashi

We delve into the first-order thermodynamics of Horndeski gravity, focusing on spatially flat, homogeneous, and isotropic cosmologies. Our exploration begins with a comprehensive review of the effective fluid representation within viable…

广义相对论与量子宇宙学 · 物理学 2024-06-18 Marcello Miranda , Serena Giardino , Andrea Giusti , Lavinia Heisenberg

The first-order general relativistic theory of a generic dissipative (heat-conducting, viscous, particle-creating) fluid is rediscussed from a unified covariant frame-independent point of view. By generalizing some previous works in the…

广义相对论与量子宇宙学 · 物理学 2008-11-26 R. Silva , J. A. S. Lima , M. O. Calvão

The authors considered the bulk viscous fluid in $f(R, T)$ gravity within the framework of Kaluza-Klein space time. The bulk viscous coefficient $(\xi)$ expressed as $\xi=\xi_0+\xi_1\frac{\dot{a}}{a}+\xi_2\frac{\ddot{a}}{\dot{a}}$, where…

广义相对论与量子宇宙学 · 物理学 2017-04-26 G. C. Samanta , R. Myrzakulov , Parth Shah

This study investigates the dynamics of a spatially homogeneous and anisotropic LRS Bianchi type-I universe with viscous fluid in the framework of $f(Q)$ symmetric teleparallel gravity. We assume a linear form for $f(Q)$ and introduce…

广义相对论与量子宇宙学 · 物理学 2024-04-16 M. Koussour , S. H. Shekh , M. Bennai , N. Myrzakulov

The full causal M\"uller-Israel-Stewart (MIS) theory of dissipative processes in relativistic fluids is applied to a flat, homogeneous and isotropic universe with bulk viscosity. It is clarified in which sense the so called truncated…

天体物理学 · 物理学 2008-11-26 Winfried Zimdahl

Barber's second self creation theory with bulk viscous fluid source for an LRS Bianchi type-I metric is considered by using deceleration parameter to be constant where the metric potentials are taken as function of $x$ and $t$. The…

广义相对论与量子宇宙学 · 物理学 2009-11-07 A. Pradhan , H. R. Pandey

The first order hydrodynamic evolution equations for the shear stress tensor, the bulk viscous pressure and the charge current have been studied for a system of quarks and gluons, with a non-vanishing quark chemical potential and finite…

高能物理 - 唯象学 · 物理学 2020-07-16 Samapan Bhadury , Manu Kurian , Vinod Chandra , Amaresh Jaiswal

Effective theory arguments are used to derive the most general energy-momentum tensor of a relativistic viscous fluid with an arbitrary equation of state (in the absence of other conserved currents) that is first-order in the derivatives of…

广义相对论与量子宇宙学 · 物理学 2022-02-22 Fábio S. Bemfica , Marcelo M. Disconzi , Jorge Noronha

This paper is dedicated to the study of viscous compressible barotropic fluids in dimension $N\geq2$. We address the question of well-posedness for {\it large} data having critical Besov regularity. Our result improve the analysis of R.…

偏微分方程分析 · 数学 2009-04-09 Boris Haspot

The purpose of the present work is two folded: (1) we propose a new mechanism for the origin of bulk viscosity in cosmological context, and then, (2) we address the thermodynamic implications of viscous cosmology based on the thermodynamics…

广义相对论与量子宇宙学 · 物理学 2025-04-02 Tanmoy Paul

In this study, we investigate the role of bulk viscosity in $f(Q,T)$ gravity in explaining late-time cosmic acceleration. This model, an extension of symmetric teleparallel gravity, introduces viscosity into cosmic matter dynamics for a…

宇宙学与河外天体物理 · 物理学 2024-05-14 M. Koussour , Abdelghani Errehymy , O. Donmez , K. Myrzakulov , M. A. Khan , B. Çil , E. Güdekli

This study combines theoretical advancements with observational limitations to investigate the cosmological implications of a bulk viscous modified Chaplygin gas (MCG) in a Friedmann--Robertson--Walker (FRW) in (3+1) dimensional spacetime…

广义相对论与量子宇宙学 · 物理学 2025-12-23 Mohit Thakre , Praveen Kumar Dhankar , Behnam Pourhassan , Safiqul Islam

In this paper we have investigated an LRS Bianchi I anisotropic cosmological model of the universe by taking time varying $G$ and $\Lambda$ in the presence of bulk viscous fluid source described by full causal non-equilibrium…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Anirudh Pradhan , Purnima Pandey , G. P. Singh , R. V. Deshpandey

The first-order textbook formulations of relativistic viscous hydrodynamics are unstable and acausal. These shortcomings may be rectified by using effective theories which maintain stability and causality. In this dissertation, which is…

高能物理 - 理论 · 物理学 2025-09-30 Raphael E. Hoult

We probe into universes filled with Quark Gluon Plasma with non-zero viscosities. In particular, we study the evolution of a universe with non-zero shear viscosity motivated by the theoretical result of a non-vanishing shear viscosity in…

广义相对论与量子宇宙学 · 物理学 2019-10-03 Sergio Bravo Medina , Marek Nowakowski , Davide Batic

In this article, we have investigated the role of bulk viscosity to study the accelerated expansion of the universe in the framework of modified $f(Q)$ gravity. The gravitational action in this modified gravity theory has the form $f(Q)$,…

广义相对论与量子宇宙学 · 物理学 2022-07-20 Raja Solanki , S. K. J. Pacif , Abhishek Parida , P. K. Sahoo

We prove that there exists a weak solution to a system governing an unsteady flow of a viscoelastic fluid in three dimensions, for arbitrarily large time interval and data. The fluid is described by the incompressible Navier-Stokes…

偏微分方程分析 · 数学 2020-07-22 Michal Bathory , Miroslav Bulíček , Josef Málek

Locally-rotationally-symmetric Bianchi type-I viscous and non -viscous cosmological models are explored in general relativity (GR) and in f(R,T) gravity. Solutions are obtained by assuming that the expansion scalar is proportional to the…

广义相对论与量子宇宙学 · 物理学 2021-07-07 S. Jokweni , Vijay Singh , Aroonkumar Beesham

Some cosmological models based on the gravitational theory $f(R) = R+\zeta R^2$, and on fluids obeying to the equations of state of Redlich-Kwong, Berthelot, and Dieterici are proposed for describing smooth transitions between different…

广义相对论与量子宇宙学 · 物理学 2021-10-27 Saikat Chakraborty , Daniele Gregoris