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We numerically study the scattering coefficients of linear water waves on stationary flows above a localized obstacle. We compare the scattering on trans- and subcritical flows, and then focus on the latter which have been used in recent…

General Relativity and Quantum Cosmology · Physics 2016-06-29 Scott Robertson , Florent Michel , Renaud Parentani

When a water jet impinges upon a solid surface it produces a so called hydraulic jump that everyone can observe in the sink of its kitchen. It is characterized by a thin liquid sheet bounded by a circular rise of the surface due to…

Soft Condensed Matter · Physics 2010-09-29 Franck Celestini , R. Kofman , Xavier Noblin , Mathieu Pellegrin

In this work, we consider a semiclassical description of the spherically symmetric gravitational collapse with a massless scalar field. In particular, we employ an effective scenario provided by holonomy corrections from loop quantum…

General Relativity and Quantum Cosmology · Physics 2014-05-21 Yaser Tavakoli , Joao Marto , Andrea Dapor

We consider three-dimensional inviscid irrotational flow in a two layer fluid under the effects of gravity and surface tension, where the upper fluid is bounded above by a rigid lid and the lower fluid is bounded below by a flat bottom. We…

Analysis of PDEs · Mathematics 2019-07-24 Dag Nilsson

We consider a spherically symmetric gravitational collapse of a tachyon field with an inverse square potential, which is coupled with a barotropic fluid. By employing an holonomy correction imported from loop quantum cosmology, we analyse…

General Relativity and Quantum Cosmology · Physics 2015-01-16 Joao Marto , Yaser Tavakoli , Paulo Vargas Moniz

We consider the free boundary problem for a 3-dimensional, incompressible, irrotational liquid drop of nearly spherical shape with capillarity. We study the problem from the beginning, extending some classical results from the flat case…

Analysis of PDEs · Mathematics 2026-03-31 Pietro Baldi , Vesa Julin , Domenico Angelo La Manna

Surface waves on a stationary flow of water are considered, in a linear model that includes the surface tension of the fluid. The resulting gravity-capillary waves experience a rich array of horizon effects when propagating against the…

General Relativity and Quantum Cosmology · Physics 2015-05-18 Germain Rousseaux , Philippe Maissa , Christian Mathis , Pierre Coullet , Thomas G. Philbin , Ulf Leonhardt

This work develops asymptotic properties of a class of switching jump diffusion processes. The processes under consideration may be viewed as a number of jump diffusion processes modulated by a random switching mechanism. The underlying…

Probability · Mathematics 2018-10-02 Xiaoshan Chen , Zhen-Qing Chen , Ky Tran , George Yin

We study hydrodynamic interactions of spherical particles in incident Poiseuille flow in a channel with infinite planar walls. The particles are suspended in a Newtonian fluid, and creeping-flow conditions are assumed. Numerical results,…

Soft Condensed Matter · Physics 2009-11-11 S. Bhattacharya , J. Blawzdziewicz , E. Wajnryb

The objective of this work is to revisit fundamental aspects of relativistic hydrodynamics, aiming at the construction of a first course in relativistic hydrodynamics and its applications to astrophysics at the level of end of undergraduate…

General Relativity and Quantum Cosmology · Physics 2022-10-17 R. F. Santos , A. C. Amaro Faria , L. G. Almeida

Hydrodynamics provides a universal description of interacting quantum field theories at sufficiently long times and wavelengths, but breaks down at scales dependent on microscopic details of the theory. In the vicinity of a quantum critical…

High Energy Physics - Theory · Physics 2021-08-11 Daniel Arean , Richard A. Davison , Blaise Goutéraux , Kenta Suzuki

Recent experimental progresses in controlling classical and quantum fluids have made it possible to realize acoustic analogues of gravitational black holes, where a flowing fluid provides an effective spacetime on which sound waves…

General Relativity and Quantum Cosmology · Physics 2025-01-22 Lawrence M. Krauss , Francesco Marino , Samuel L. Braunstein , Mir Faizal , Naveed A. Shah

We explore in detail the semiclassical environment of collapsing shells of matter, and determine the semiclassical flux measured by a variety of observers. This study is a preliminary step in a broader investigation of thermodynamic…

General Relativity and Quantum Cosmology · Physics 2009-12-14 Kinjal Banerjee , Aseem Paranjape

We consider the surface diffusion and Willmore flows acting on a general class of (possibly non-compact) hypersurfaces parameterized over a uniformly regular reference manifold possessing a tubular neighborhood with uniform radius. The…

Analysis of PDEs · Mathematics 2019-01-03 Jeremy LeCrone , Yuanzhen Shao , Gieri Simonett

The flow of viscous fluids is considered as the aggregation of the motion of fluid particles when the fluid is conceived to be made up by an infinite number of particles. As an alternative of this conventional model, fluid motion could be…

Fluid Dynamics · Physics 2024-02-07 Wennan Zou , Jian He

Recently, it has been argued by Kuklov et al., that unusual features associated with the superflow-through-solid effect observed in solid He4 can be explained by unique properties of dilute distribution of superfluid edge dislocations. We…

Other Condensed Matter · Physics 2023-11-27 Leo Radzihovsky , Anatoly Kuklov , Nikolay Prokof'ev , Boris Svistunov

The dynamics of black hole horizons has recently been linked to that of Carrollian fluids. This results in a dictionary between geometrical quantities and those of a fluid with unusual properties due its underlying Carrollian symmetries. In…

General Relativity and Quantum Cosmology · Physics 2023-03-22 Jaime Redondo-Yuste , Luis Lehner

By analyzing the displacement statistics of an assembly of horizontally vibrated bidisperse frictional grains in the vicinity of the jamming transition experimentally studied before, we establish that their superdiffusive motion is a…

Soft Condensed Matter · Physics 2010-07-06 F. Lechenault , R. Candelier , O. Dauchot , J. P. Bouchaud , G. Biroli

Building upon the recent findings regarding inverse phase transitions in the early universe, we present the first natural realisation of this phenomenon within a supersymmetry-breaking sector. We demonstrate that inverse hydrodynamics,…

High Energy Physics - Phenomenology · Physics 2026-03-31 Giulio Barni , Simone Blasi , Miguel Vanvlasselaer

In this work, we consider the fluid/gravity correspondence for general rotating black holes. By using the Petrov-like boundary condition in near horizon limit, we study the correspondence between gravitational perturbation and fluid…

High Energy Physics - Theory · Physics 2015-11-30 Xiaoning Wu , Yi Yang , Pei-Hung Yuan , Chia-Jui Cho
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