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We describe ideal incompressible hydrodynamics on the hyperbolic plane which is an infinite surface of constant negative curvature. We derive equations of motion, general symmetries and conservation laws, and then consider turbulence with…

Chaotic Dynamics · Physics 2015-06-18 Gregory Falkovich , Krzysztof Gawedzki

The phase diagram of the penetrable square-well fluid is investigated through Monte Carlo simulations of various nature. This model was proposed as the simplest possibility of combining bounded repulsions at short scale and short-range…

Soft Condensed Matter · Physics 2012-01-12 Riccardo Fantoni , Alexandr Malijevsky , Andres Santos , Achille Giacometti

In this paper, we show the increasing stability of the inverse source problems for the acoustic wave equation in the full space R3.The goal is to understand increasing stability for wave equation in the time domain. If the time and spatial…

Analysis of PDEs · Mathematics 2024-11-08 Suliang Si

We analyse numerically a pinch-type instability in a semi-infinite planar layer of inviscid conducting liquid bounded by solid walls and carrying a uniform electric current. Our model is as simple as possible but still captures the salient…

Fluid Dynamics · Physics 2017-03-14 Jānis Priede

The space-charge driven envelope instability can be of great danger in high intensity accelerators and was studied using a two-dimensional (2D) envelope model and three-dimensional (3D) macroparticle simulations before. In this paper, we…

Accelerator Physics · Physics 2018-04-18 Ji Qiang

Three mode parametric instability has been predicted in Advanced gravitational wave detectors. Here we present the first observation of this phenomenon in a large scale suspended optical cavity designed to be comparable to those of advanced…

We explore the near-resonant interaction of inertial waves with geostrophic modes in rotating fluids via numerical and theoretical analysis. When a single inertial wave is imposed, we find that some geostrophic modes are unstable above a…

Fluid Dynamics · Physics 2020-08-26 Thomas Le Reun , Basile Gallet , Benjamin Favier , Michael Le Bars

In this paper, we studied the long-wave instability of the shear flows. When the wavenumber of perturbation is larger than the critical value, the flow is always neutrally stable. First, we obtain a new upper bound for the neutral…

Fluid Dynamics · Physics 2011-08-02 Liang Sun

A time-reversal-violating spin-correlation coefficient in the total cross section for polarized neutrons incident on a tensor rank-2 polarized target is calculated by assuming a time-reversal-noninvariant, parity-conserving ``five-fold"…

Nuclear Theory · Physics 2009-09-25 V. Hnizdo , C. R. Gould

We consider a suspended elastic rod under longitudinal compression. The compression can be used to adjust potential energy for transverse displacements from harmonic to double well regime. As compressional strain is increased to the…

Soft Condensed Matter · Physics 2011-07-15 Aniruddha Chakraborty

We discuss the effects of finite perturbations in fully developed turbulence by introducing a measure of the chaoticity degree associated to a given scale of the velocity field. This allows one to determine the predictability time for…

chao-dyn · Physics 2009-10-28 E. Aurell , G. Boffetta , A. Crisanti , G. Paladin , A. Vulpiani

We investigate how the following properties are related to each other: i)-A manifold is "transversally" exponentially stable; ii)-The "transverse" linearization along any solution in the manifold is exponentially stable; iii)-There exists a…

Dynamical Systems · Mathematics 2016-01-05 Vincent Andrieu , Bayu Jayawardhana , Laurent Praly

Some techniques for the study of intermittency by means of wavelet transforms, are presented on an example of synthetic turbulent signal. Several features of the turbulent field, that cannot be probed looking at standard structure function…

chao-dyn · Physics 2007-05-23 Piero Olla , Paolo Paradisi

We study classes of inflation models driven by antisymmetric tensor field, with minimal and nonminimal couplings to gravity, that address known issues of such models considered in the past. First we show that with a different choice of the…

General Relativity and Quantum Cosmology · Physics 2022-04-25 Sandeep Aashish , Abhijith Ajith , Sukanta Panda , Rahul Thakur

Possibility of asymmetric square convection is investigated numerically using a few mode Lorenz-like model for thermal convection in Boussinesq fluids confined between two stress free and conducting flat boundaries. For relatively large…

Pattern Formation and Solitons · Physics 2009-10-31 Alaka Das , Ujjal Ghosal , Krishna Kumar

A parametric numerical study of three-dimensional instability of steady flows in a helical pipe of arbitrary curvature and torsion is carried out. The computations are performed by a numerical approach verified against independent…

Fluid Dynamics · Physics 2020-11-04 Alexander Gelfgat

The wake of a body moving across the isopycnals of a strongly stratified fluid is characterized by the presence of an intense jet which, under certain circumstances, may become unstable. To get insight into the phenomenology of this…

Fluid Dynamics · Physics 2025-12-18 Chang-Fan Mo , Matthieu J. Mercier , Jacques Magnaudet , Jie Zhang

Resonant tunnelling is studied numerically and analytically with the help of a three-well quantum one-dimensional time-independent model. The simplest cases are considered where the three-well potential is polynomial or piecewise constant.

Quantum Physics · Physics 2015-06-05 Jérémy Le Deunff , Olivier Brodier , Amaury Mouchet

We study the evolution of an inverted spin ensemble coupled to a cavity. The inversion itself presents an inherent instability of the system; however, the inhomogeneous broadening of spin-resonance frequencies presents a stabilizing…

Quantum Physics · Physics 2015-06-11 Brian Julsgaard , Klaus Mølmer

The predictability problem in the inverse energy cascade of two-dimensional turbulence is addressed by means of direct numerical simulations. The growth rate as a function of the error level is determined by means of a finite size extension…

Chaotic Dynamics · Physics 2009-10-31 G. Boffetta , S. Musacchio