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We construct a supersonic-sonic smooth patch solution for the two dimensional steady Euler equations in gas dynamics. This patch is extracted from the Frankl problem in the study of transonic flow with local supersonic bubble over an…

偏微分方程分析 · 数学 2021-01-05 Yanbo Hu , Jiequan Li

Equilibrium molecular dynamics simulations are performed to study two-dimensional (2D) dusty plasma liquids. Based on the stochastic thermal motion of simulated particles, the longitudinal and transverse phonon spectra are calculated, and…

等离子体物理 · 物理学 2023-05-23 Zhenyu Ge , Dong Huang , Shaoyu Lu , Chen Liang , Matteo Baggioli , Yan Feng

Resonance, defined as the oscillation of a system when the temporal frequency of an external stimulus matches a natural frequency of the system, is important in both fundamental physics and applied disciplines. However, the spatial…

介观与纳米尺度物理 · 物理学 2016-06-16 Zhenyu Wang , Mingzhe Li , Ruifang Wang

Sound waves on a fluid stream, in a de Laval nozzle, are shown to correspond to quasinormal modes emitted by black holes that are physical solutions in a quadratic curvature gravity with cosmological constant. Sound waves patterns in…

广义相对论与量子宇宙学 · 物理学 2017-11-21 Roldao da Rocha , R. F. Sobreiro , A. A. Tomaz

We determine the velocity of sound in the blackbody gas of photons and in the gas of relic photons. Derivation is based on the thermodynamic theory of the photon gas and the Einstein relation between energy and mass. The spectral form for…

综合物理 · 物理学 2015-03-13 Miroslav Pardy

We study the quantum state of phonons propagating on top of a fluid of light coherently generated in a planar microcavity device by a quasi-resonant incident laser beam. In the steady-state under a monochromatic pump, because of the finite…

量子气体 · 物理学 2014-04-28 Xavier Busch , Iacopo Carusotto , Renaud Parentani

We investigate timelike junctions (with surface layer) between spherically symmetric solutions of the Einstein-field equation. In contrast to previous investigations this is done in a coordinate system in which the junction surface motion…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Ulrich Kirchner

The work analytically substantiates the parameters of the surface wave found in numerical modelling of the collision of two oncoming supersonic plasma flows inside a magnetic arc in application to the experiment on the laboratory setup…

等离子体物理 · 物理学 2025-12-11 Sergey A. Koryagin , Mikhail E. Viktorov , Artem V. Korzhimanov , Andrey A. Elyasin

An accretion flow is necessarily transonic around a black hole. However, around a neutron star it may or may not be transonic, depending on the inner disk boundary conditions influenced by the neutron star. I will discuss various transonic…

天体物理学 · 物理学 2009-11-13 Banibrata Mukhopadhyay

We consider the sound ranging problem, which is to find the position of the source-point from the moments when the wave-sphere of linearly, with time, increasing radius reaches the sensor-points, in the infinite-dimensional separable…

泛函分析 · 数学 2018-05-28 Sergij V. Goncharov

Based on the geometry of the codimension-2 surface in a general spherically symmetric spacetime, we give a quasi-local definition of a photon sphere as well as a photon surface. This new definition is the generalization of the one by…

广义相对论与量子宇宙学 · 物理学 2021-09-23 Li-Ming Cao , Yong Song

The spherically symmetric solution for perfect fluid with homogeneous density and inhomogeneous pressure has been considered. This solution is known as Stephani solution. The matching of this solution and de Sitter solution has been done on…

广义相对论与量子宇宙学 · 物理学 2013-12-25 M. P. Korkina , O. O. Iegurnov

It has been argued that the speed of sound of the strong interaction at high temperature can be measured using the variation of the mean transverse momentum with the particle multiplicity in ultracentral heavy-ion collisions. We test this…

核理论 · 物理学 2024-08-12 Fernando G. Gardim , Andre V. Giannini , Jean-Yves Ollitrault

Using the quasi-Maxwell formalism, we derive the necessary and sufficient conditions for the matching of two stationary spacetimes along a stationary timelike hypersurface, expressed in terms of the gravitational and gravitomagnetic fields…

广义相对论与量子宇宙学 · 物理学 2020-10-09 Filipe C. Mena , Jose Natario

In this paper, a compensated compactness framework is established for sonic-subsonic approximate solutions to the $n$-dimensional$(n\geq 2)$ Euler equations for steady irrotational flow that may contain stagnation points. This compactness…

偏微分方程分析 · 数学 2015-03-19 Feimin Huang , Tianyi Wang , Yong Wang

Control surface deployment in a supersonic flow has many applications, including flow control, mixing, and body-force regulation. The extent of control surface deflections introduces varying flow unsteadiness. The resulting fluid dynamics…

流体动力学 · 物理学 2022-10-26 S. K. Karthick , D. Bhelave , A. De

We investigate the inverse source problem for the wave equation, arising in photo- and thermoacoustic tomography. There exist quite a few theoretically exact inversion formulas explicitly expressing solution of this problem in terms of the…

偏微分方程分析 · 数学 2018-08-01 Ngoc Do , Leonid Kunyansky

We establish the global existence and stability of a three-dimensional supersonic conic shock wave for a perturbed steady supersonic flow past an infinitely long circular cone with a sharp angle. The flow is described by a 3-D steady…

偏微分方程分析 · 数学 2011-10-05 Jun Li , Ingo Witt , Huicheng Yin

This paper is concerned with acoustic scattering from a sound-soft trapezoidal surface in two dimensions. The trapezoidal surface is supposed to consist of two horizontal half-lines pointing oppositely, and a single finite vertical line…

数值分析 · 数学 2019-03-19 Wangtao Lu , Guanghui Hu

We consider a slow-fast Hamiltonian system with one fast angular variable (a fast phase) whose frequency vanishes on some surface in the space of slow variables (a resonant surface). Systems of such form appear in the study of dynamics of…

动力系统 · 数学 2022-12-29 Yuyang Gao , Anatoly Neishtadt , Alexey Okunev