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We consider the viscous incompressible fluids in a three-dimensional horizontally periodic domain bounded below by a fixed smooth boundary and above by a free moving surface. The fluid dynamics are governed by the Navier-Stokes equations…

Analysis of PDEs · Mathematics 2024-04-30 Xing Cheng , Yunrui Zheng

The coherent stochastic resonance is observed and studied with multi-step periodic signal in continuous medium having two absorbing boundaries. The general features of this process are exihibited. The universal features at the resonance…

Condensed Matter · Physics 2009-10-31 Asish K. Dhara , Tapan Mukhopadhyay

It is well known that attractive condensates do not posses a stable ground state in three dimensions. The widely used Gross-Pitaevskii theory predicts the existence of metastable states up to some critical number…

Other Condensed Matter · Physics 2009-11-27 Lorenz S. Cederbaum , Alexej I. Streltsov , Ofir E. Alon

We investigate the collapse of a trapped dipolar Bose-Einstein condensate. This is performed by numerical simulations of the Gross-Pitaevskii equation and the novel application of the Thomas-Fermi hydrodynamic equations to collapse. We…

Other Condensed Matter · Physics 2009-11-13 N. G. Parker , C. Ticknor , A. M. Martin , D. H. J. O'Dell

In recent years, controlled dissipation has proven to be a useful tool for probing of a quantum system in the ultracold setup. In this paper we consider dynamics of bosons induced by a dissipative local defect. We address superfluid and…

Quantum Gases · Physics 2015-06-18 Ivana Vidanovic , Daniel Cocks , Walter Hofstetter

The dynamics of a coupled Bose-Einstein condensate involving trapped atoms in two quantum states is studied using the time-dependent Gross-Pitaevskii equation including an interaction which can transform atoms from one state to the other.…

Soft Condensed Matter · Physics 2009-11-07 Sadhan K. Adhikari

We construct a plane symmetric, standing gravitational wave for a domain wall plus a massless scalar field. The scalar field can be associated with a fluid which has the properties of `stiff' matter, i.e. matter in which the speed of sound…

General Relativity and Quantum Cosmology · Physics 2010-03-26 Merab Gogberashvili , Shynaray Myrzakul , Douglas Singleton

It was proposed that acoustic perturbations generated by the QCD phase transition could create an inverse turbulent cascade \cite{Kalaydzhyan:2014wca}. An assumption was that propagation toward smaller momenta could reach the wavelength of…

High Energy Physics - Phenomenology · Physics 2024-06-04 Edward Shuryak , Gregory Falkovvich

We study generation of acoustic waves by a precessing spin of a nanoparticle deposited on the surface of a solid. Our approach elucidates macroscopic dynamics of the Einstein - de Haas effect. It is based upon solution of parameter-free…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 R. Zarzuela , E. M. Chudnovsky

A system very similar to a dielectric barrier discharge, but with a simple stationary DC voltage, can be realized by sandwiching a gas discharge and a high-ohmic semiconductor layer between two planar electrodes. In experiments this system…

Pattern Formation and Solitons · Physics 2011-11-10 I. R. Rafatov , D. D. Sijacic , U. Ebert

We investigate the apparent horizon formation for high-energy head-on collisions of particles in multi-dimensional spacetime. The apparent horizons formed before the instance of particle collision are obtained analytically. Using these…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Hirotaka Yoshino , Yasusada Nambu

Modern quantum platforms such as superconducting circuits provide exciting opportunities for the experimental exploration of driven-dissipative many-body systems in unconventional regimes. One of such regimes occurs in bosonic systems,…

Quantum Gases · Physics 2021-11-16 Yinan Chen , Carlos Navarrete-Benlloch

In this paper, we are concerned with the global existence and stability of a smooth supersonic flow with vacuum state at infinity in a 3-D infinitely long divergent nozzle. The flow is described by a 3-D steady potential equation, which is…

Analysis of PDEs · Mathematics 2015-10-28 Xu Gang , Yin Huicheng

Time-harmonic electromagnetic plane waves in anisotropic media can exhibit complex-valued wavevectors (with nonzero real and imaginary parts) even in the absence of material dissipation. These peculiar modes, usually referred to as "ghost…

Optics · Physics 2023-06-05 Massimo Moccia , Giuseppe Castaldi , Andrea Alù , Vincenzo Galdi

For general anisotropic linear elastic solids with smooth boundaries, Rayleigh-type surface waves are studied. Using spectral factorizations of matrix polynomials, a self-contained exposition of the case of a homogeneous half-space is given…

Mathematical Physics · Physics 2014-05-12 Sönke Hansen

Formation of stationary 3D wave patterns generated by a small point-like impurity moving through a Bose-Einstein condensate with supersonic velocity is studied. Asymptotic formulae for a stationary far-field density distribution are…

Other Condensed Matter · Physics 2013-05-29 T. -L. Horng , S. -C. Gou , T. -C. Lin , G. A. El , A. P. Itin , A. M. Kamchatnov

The time-dependent extended Gross-Pitaevskii equation for Bose-Einstein condensates with attractive 1/r interaction is investigated with both a variational approach and numerically exact calculations. We show that these condensates exhibit…

Quantum Physics · Physics 2008-07-12 Holger Cartarius , Tomaž Fabčič , Jörg Main , Günter Wunner

We are concerned with the structural stability of conical shocks in the three-dimensional steady supersonic flows past Lipschitz perturbed cones whose vertex angles are less than the critical angle. The flows under consideration are…

Analysis of PDEs · Mathematics 2021-05-25 Gui-Qiang G. Chen , Jie Kuang , Yongqian Zhang

We carry out hydrodynamical simulation of the evolution of fluid in relativistic heavy-ion collisions with random initial fluctuations. The time evolution of power spectrum of momentum anisotropies shows very strong correspondence with the…

Nuclear Theory · Physics 2016-11-09 P. S. Saumia , Ajit M. Srivastava

Interactions between fluids and elastic solids are ubiquitous in application ranging from aeronautical and civil engineering to physiological flows. Here we study the pulsatile flow through a two-dimensional Starling resistor as a simple…

Fluid Dynamics · Physics 2021-01-15 Duo Xu , Matthias Heil , Thomas Seeböck , Marc Avila
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