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The downstream region of a collisionless quasi-parallel shock is structured containing bulk flows with high kinetic energy density from a previously unidentified source. We present Cluster multi-spacecraft measurements of this type of…

We explore self-similar dynamical processes in a spherical isothermal self-gravitational fluid with an emphasis on shocks and outline astrophysical applications of such shock solutions. The previous similarity shock solutions of Tsai & Hsu…

天体物理学 · 物理学 2009-11-13 Fu-Yan Bian , Yu-Qing Lou

We study a 2D potential flow of an ideal fluid with a free surface with decaying conditions at infinity. By using the conformal variables approach, we study a particular solution of Euler equations having a pair of square-root branch points…

流体动力学 · 物理学 2022-12-14 A. I. Dyachenko , S. A. Dyachenko , V. E. Zakharov

Simulation of a sonic black-hole/white-hole pair in a (2+1)-dimensional Bose-Einstein condensate shows formation of superfluid vortices through dynamical instabilities seeded by initial quantum noise. The instabilities saturate in a…

其他凝聚态物理 · 物理学 2017-05-12 R. Bürkle , A. Gaidoukov , J. R. Anglin

A method to find optimal 2nd-order perturbations is presented, and applied to find the optimal spanwise-wavy surface for suppression of cylinder wake instability. Second-order perturbations are required to capture the stabilizing effect of…

流体动力学 · 物理学 2016-02-11 Outi Tammisola

The existence and uniqueness of two dimensional steady compressible Euler flows past a wall or a symmetric body are established. More precisely, given positive convex horizontal veloicty in the upstream, there exists a critical value…

偏微分方程分析 · 数学 2014-10-09 Chao Chen , Lili Du , Chunjing Xie , Zhouping Xin

We study a stationary 3D/2D fluid-structure interaction problem between an elastic structure described by the linear plate equation and a fluid described by the compressible Navier-Stokes equations with hard-sphere pressure and…

偏微分方程分析 · 数学 2026-03-30 Boris Muha , Šárka Nečasová , Milan Pokorný , Srđan Trifunović , Justin T. Webster

Coughlin et al. (2018) (Paper I) derived and analyzed a new regime of self-similarity that describes weak shocks (Mach number of order unity) in the gravitational field of a point mass. These solutions are relevant to low energy explosions,…

高能天体物理现象 · 物理学 2019-04-03 Eric R. Coughlin , Stephen Ro , Eliot Quataert

Periodic travelling waves at the free surface of an incompressible inviscid fluid in two dimensions under gravity are numerically computed for an arbitrary vorticity distribution. The fluid domain over one period is conformally mapped from…

流体动力学 · 物理学 2025-02-26 Alex Doak , Vera Mikyoung Hur , Jean-Marc Vanden-Broeck

This paper is concerned with self-similar solutions of the steady Navier-Stokes system in a two-dimensional sector with the no-slip boundary condition. We give necessary and sufficient conditions in terms of the angle of the sector and the…

偏微分方程分析 · 数学 2025-02-18 Jeaheang Bang , Changfeng Gui , Hao Liu , Yun Wang , Chunjing Xie

We report on studies of quantum turbulence with second-sound in superfluid 4He in which the turbulence is generated by the flow of the superfluid component through a wide square channel, the ends of which are plugged with sintered silver…

其他凝聚态物理 · 物理学 2015-09-07 Simone Babuin , Emil Varga , William F. Vinen , Ladislav Skrbek

We investigate a holographic model of superfluid flows with an external repulsive potential. When the strength of the potential is sufficiently weak, we analytically construct two steady superfluid flow solutions. As the strength of the…

高能物理 - 理论 · 物理学 2016-08-31 Akihiro Ishibashi , Kengo Maeda , Takashi Okamura

Supersonic flows for the two-dimensional (2D) steady full Euler system are studied. We construct a global non-isentropic rotational supersonic flow in a semi-infinite divergent duct. The flow satisfies the slip condition on the walls of the…

偏微分方程分析 · 数学 2020-03-24 Geng Lai

We study the transition between steady flows of non-cohesive granular materials in quasi-2D bounded heaps by suddenly changing the feed rate. In both experiments and simulations, the primary feature of the transition is a wedge of flowing…

流体动力学 · 物理学 2017-11-08 Hongyi Xiao , Julio M. Ottino , Richard M. Lueptow , Paul B. Umbanhowar

In three space dimensions, we consider the compressible inviscid model describing the time evolution of two fluids sharing the same velocity and enjoying the algebraic pressure closure. By employing the technique of convex integration, we…

偏微分方程分析 · 数学 2019-12-24 Yang Li , Ewelina Zatorska

We consider two models of a compressible inviscid isentropic two-fluid flow. The first one describes the liquid-gas two-phase flow. The second one can describe the mixture of two fluids of different densities or the mixture of fluid and…

偏微分方程分析 · 数学 2019-05-01 Lizhi Ruan , Yuri Trakhinin

The dynamic evolution of a highly underexpanded transient supersonic jet at the exit of a pulse detonation engine is investigated via high-resolution time-resolved schlieren and numerical simulations. Experimental evidence is provided for…

Adaptive control is applied to a supersonic dual-stream jet flow comprised of Mach 1.6 core and Mach 1.0 bypass streams that mix to form a supersonic shear layer. The vortices shed are the source of a high-frequency tone that persists…

流体动力学 · 物理学 2026-05-20 Melissa Yeung , Yiyang Sun

We are concerned with supersonic vortex sheets for the Euler equations of compressible inviscid fluids in two space dimensions. For the problem with constant coefficients we derive an evolution equation for the discontinuity front of the…

偏微分方程分析 · 数学 2018-06-19 Alessandro Morando , Paolo Secchi , Paola Trebeschi

We show the existence of periodic traveling waves at the free surface of a two dimensional, infinitely deep, and constant vorticity flow, under gravity, whose profiles are overhanging, including one which intersects itself to enclose a…

偏微分方程分析 · 数学 2022-05-24 Vera Mikyoung Hur , Miles H. Wheeler