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We study a charged dilatonic black hole in AdS_5, derived from a lagrangian involving a gauge field whose kinetic term is modified by the exponential of a neutral scalar. This black hole has two properties which one might reasonably demand…

High Energy Physics - Theory · Physics 2010-04-06 Steven S. Gubser , Fabio D. Rocha

We construct unique local solutions for the spherically-symmetric Einstein-Klein-Gordon-AdS system subject to a large class of initial and boundary conditions including some considered in the context of the AdS-CFT correspondence. The proof…

General Relativity and Quantum Cosmology · Physics 2014-07-29 Gustav H. Holzegel , Claude M. Warnick

The method of fundamental solutions (MFS) is known to be effective for solving 3D Laplace and Stokes Dirichlet boundary value problems in the exterior of a large collection of simple smooth objects. Here we present new scalable MFS…

Numerical Analysis · Mathematics 2025-08-22 Anna Broms , Alex H. Barnett , Anna-Karin Tornberg

The acoustic fields and streaming in a confined fluid depend strongly on the acoustic boundary layer forming near the wall. The width of this layer is typically much smaller than the bulk length scale set by the geometry or the acoustic…

Fluid Dynamics · Physics 2018-08-29 Jacob S. Bach , Henrik Bruus

Higher-derivative corrections in the AdS/CFT correspondence allow us to capture finer details of the dual CFT and to explore the holographic dictionary beyond the infinite N and strong coupling limits. Following an effective field theory…

High Energy Physics - Theory · Physics 2025-03-24 Pablo A. Cano , Marina David

We study 2D Maxwell-dilaton gravity on AdS(2). We distinguish two distinctive cases depending on whether the AdS(2) solution can be lifted to an AdS(3) geometry. In both cases, in order to get a consistent boundary condition we need to work…

High Energy Physics - Theory · Physics 2009-12-04 Mohsen Alishahiha , Farhad Ardalan

We note that the equations of relativistic hydrodynamics reduce to the incompressible Navier-Stokes equations in a particular scaling limit. In this limit boundary metric fluctuations of the underlying relativistic system turn into a…

High Energy Physics - Theory · Physics 2009-08-24 Sayantani Bhattacharyya , Shiraz Minwalla , Spenta R. Wadia

We consider a deformation of the $AdS_5\times S^5$ solution of IIB supergravity obtained by taking the boundary value of the dilaton to be time dependent. The time dependence is taken to be slowly varying on the AdS scale thereby…

High Energy Physics - Theory · Physics 2009-12-31 Adel Awad , Sumit R. Das , Archisman Ghosh , Jae-Hyuk Oh , Sandip Trivedi

In the Einestein-dilaton theory with a Liouville potential parameterized by $\eta$, we find a Schwarzschild-type black hole solution. This black hole solution, whose asymptotic geometry is described by the warped metric, is…

High Energy Physics - Theory · Physics 2012-09-27 Shailesh Kulkarni , Bum-Hoon Lee , Chanyong Park , Raju Roychowdhury

We calculate the connected stress-tensor correlation functions that are dual to a certain class of graviton scattering amplitudes in an asymptotically anti-de Sitter, black brane spacetime. This is a continuation of a previous study in…

High Energy Physics - Theory · Physics 2018-10-31 M. M. W. Shawa , A. J. M. Medved

We study a model of a general compressible viscous fluid subject to the Coulomb friction law boundary condition. For this model, we introduce a dissipative formulation and prove the existence of dissipative solutions. The proof of this…

Analysis of PDEs · Mathematics 2024-02-22 Sarka Necasova , Justyna Ogorzaly , Jan Scherz

We consider the case of finite-size spherical particles which are settling under gravity in a homogeneous turbulent background flow. Turbulence is forced with the aid of the random forcing method of Eswaran and Pope [Comput. Fluids,…

Fluid Dynamics · Physics 2016-01-20 Agathe Chouippe , Markus Uhlmann

Based on the previous paper arXiv:1207.5309, we investigate the possibility to find out the bulk viscosity of dual fluid at the finite cutoff surface via gravity/fluid correspondence in Einstein-Maxwell gravity. We find that if we adopt new…

High Energy Physics - Theory · Physics 2014-04-15 Ya-Peng Hu , Yu Tian , Xiao-Ning Wu

In this work, the local pressure of fluids confined inside nanoslit pores is predicted within the framework of the density functional theory. The Euler-Lagrange equation in the density functional theory of statistical mechanics is used to…

Statistical Mechanics · Physics 2013-07-19 F. Heidari , G. A. Mansoori , E. Keshavarzi

Using both dynamical density functional theory and particle-resolved Brownian dynamics simulations, we explore the flow of two-dimensional colloidal solids and fluids driven through a linear channel with a geometric constriction. The flow…

Soft Condensed Matter · Physics 2016-05-25 Urs Zimmermann , Frank Smallenburg , Hartmut Löwen

We examine fluctuations of vorticity excited by an external random force in two-dimensional fluid in the presence of a strong external shear flow. The problem is motivated by the analysis of big coherent vortices appearing as a consequence…

Fluid Dynamics · Physics 2024-03-07 Igor V. Kolokolov , Vladimir V. Lebedev

Black hole solutions that are asymptotic to $ AdS_5 \times S^5$ or $ AdS_4 \times S^7$ can rotate in two different ways. If the internal sphere rotates then one can obtain a Reissner-Nordstrom-AdS black hole. If the asymptotically AdS space…

High Energy Physics - Theory · Physics 2009-10-31 S. W. Hawking , H. S. Reall

We study an asymptotic analysis of a coupled system of kinetic and fluid equations. More precisely, we deal with the nonlinear Vlasov-Fokker-Planck equation coupled with the compressible isentropic Navier-Stokes system through a drag force…

Analysis of PDEs · Mathematics 2020-06-18 Young-Pil Choi , Jinwook Jung

Spacetime geometries dual to arbitrary fluid flows in strongly coupled N=4 super Yang Mills theory have recently been constructed perturbatively in the long wavelength limit. We demonstrate that these geometries all have regular event…

The paper is devoted to the motion of a body in a fluid under the influence of gravity and drag. Depending on the regime considered, the drag force can exhibit a linear, quadratic or even more general dependence on the velocity of the body…

Classical Physics · Physics 2015-06-23 Shouryya Ray , Jochen Fröhlich