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In this paper, we study a nonlinear fluid-structure interaction problem driven by a multiplicative, white-in-time noise. The problem consists of the Navier-Stokes equations describing the flow of an incompressible, viscous fluid in a 2D…

Analysis of PDEs · Mathematics 2024-02-14 Krutika Tawri

We consider in the framework of the fluid/gravity correspondence the dynamics of hypersurfaces located in the holographic radial direction at r = r_0. We prove that these hypersurfaces evolve, to all orders in the derivative expansion and…

High Energy Physics - Theory · Physics 2013-05-29 Christopher Eling , Yaron Oz

A model for an expanding noncommutative acoustic fluid analogous to a Friedmann-Robertson-Walker geometry is derived. For this purpose, a noncommutative Abelian Higgs model is considered in a (3+1)-dimensional spacetime. In this scenario,…

High Energy Physics - Theory · Physics 2021-06-30 M. A. Anacleto , C. H. G. Bessa , F. A. Brito , E. J. B. Ferreira , E. Passos

Motivated by recent progress in developing action formulations of relativistic hydrodynamics, we use holography to derive the low energy dissipationless effective action for strongly coupled conformal fluids. Our analysis is based on the…

High Energy Physics - Theory · Physics 2015-08-28 Jan de Boer , Michal P. Heller , Natalia Pinzani-Fokeeva

We use covariant techniques to examine the implications of the dynamical equivalence between geodesic motions and adiabatic hydrodynamic flows. Assuming that the metrics of a geodesically and a non-geodesically moving fluid are conformally…

General Relativity and Quantum Cosmology · Physics 2016-08-31 N. K. Spyrou , C. G. Tsagas

The paper considers the nonlinear electrodynamics type model and its relation with relativistic hydrodynamics with no dissipation (including string and membrane hydrodynamics). We are able to convert arbitrary flux of fluid to the family of…

Fluid Dynamics · Physics 2009-05-06 Mikhail G. Ivanov

We consider a holographic dual of hydrodynamics of N=4 SYM plasma that undergoes non-isotropic three-dimensional expansion relevant to RHIC fireball. Our model is a natural extension of the Bjorken's one-dimensional expansion, and it…

High Energy Physics - Theory · Physics 2009-11-11 Sang-Jin Sin , Shin Nakamura , Sang Pyo Kim

We consider black hole solutions of Einstein gravity that describe deformations of CFTs at finite temperature in which spatial translations have been broken explicitly. We focus on deformations that are periodic in the non-compact spatial…

High Energy Physics - Theory · Physics 2017-01-25 Elliot Banks , Aristomenis Donos , Jerome P. Gauntlett , Tom Griffin , Luis Melgar

The dual fluid description for a general cutoff surface at radius r=r_c outside the horizon in the charged AdS black brane bulk space-time is investigated, first in the Einstein-Maxwell theory. Under the non-relativistic long-wavelength…

High Energy Physics - Theory · Physics 2012-04-27 Chao Niu , Yu Tian , Xiao-Ning Wu , Yi Ling

We build a holographic description of non-relativistic system for superconductivity in strongly interacting condensed matter via gauge/gravity duality. We focus on the phase transition and give an example to show that a simple gravitational…

High Energy Physics - Theory · Physics 2009-11-03 Shi Pu , Sang-Jin Sin , Yang Zhou

We analyse the gravitational behaviour of a relativistic heat conducting fluid in a shear-free spherically symmetric spacetime. We show that the isotropy of pressure is a consistency condition which realises a second order nonlinear…

General Relativity and Quantum Cosmology · Physics 2015-12-31 B. P. Brassel , S. D. Maharaj , G. Govender

Fluid dynamics corresponds to the dynamics of a substance in the long wavelength limit. Writing down all terms in a gradient (long wavelength) expansion up to second order for a relativistic system at vanishing charge density, one obtains…

High Energy Physics - Theory · Physics 2010-01-22 Paul Romatschke

The relativistic extension of non-relativistic hydrodynamics suffers from notorious difficulties. In non-relativistic hydrodynamics where difficulties also abound, it has proved a useful supplement to study lattice models which can imitate…

Fluid Dynamics · Physics 2007-05-23 N. L. Balazs , B. R. Schlei , D. Strottman

A water monolayer squeezed between two solid planes experiences strong out-of-plane confinement effects while expanding freely within the plane. As a consequence, the transport of such two-dimensional water combines hydrodynamic and…

Materials Science · Physics 2023-07-06 Maxim Trushin , Alexandra Carvalho , A. H. Castro Neto

Out-of-equilibrium effects may play an important role in the dynamics of neutron star mergers and in heavy-ion collisions. Bemfica, Disconzi, Noronha and Kovtun (BDNK) recently derived a causal, locally well-posed, and modally stable…

General Relativity and Quantum Cosmology · Physics 2023-07-05 Abhishek Hegade K R , Justin L. Ripley , Nicolás Yunes

Hamiltonian dynamics of a thin vortex filament in ideal incompressible fluid near a flat fixed boundary is considered at the conditions that at any point of the curve determining shape of the filament the angle between tangent vector and…

Fluid Dynamics · Physics 2009-11-10 V. P. Ruban

In this article we write the equations of barotropic compressible fluid mechanics as a geodesic equation on an infinite-dimensional manifold. The equations are given by \begin{align} u_t + \nabla_uu = -\frac{1}{\rho} \grad p \\ \rho_t +…

Differential Geometry · Mathematics 2015-06-15 Stephen C. Preston

By studying the weak closure of multidimensional off-diagonal self-joinings we provide a criterion for non-isomorphism of a flow with its inverse, hence the non-reversibility of a flow. This is applied to special flows over rigid…

Dynamical Systems · Mathematics 2014-05-13 K. Fraczek , J. Kulaga , M. Lemanczyk

We investigate bounce cosmological models in the presence of a viscous fluid, making use of generalized holographic cutoffs introduced by Nojiri and Odintsov (2017). We consider both an exponential, a power-law, and a double exponential…

General Relativity and Quantum Cosmology · Physics 2019-12-25 I. Brevik , A. V. Timoshkin

To make progress towards the development of a theory on the motion of inclusions in thin structured films and membranes, we here consider as an initial step a circular disk in a two-dimensional, uniaxially anisotropic fluid layer. We assume…

Soft Condensed Matter · Physics 2024-09-02 Abdallah Daddi-Moussa-Ider , Elsen Tjhung , Thomas Richter , Andreas M. Menzel
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