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We introduce the Stable Physics-Informed Kernel Evolution (SPIKE) method for numerical computation of inviscid hyperbolic conservation laws. SPIKE resolves a fundamental paradox: how strong-form residual minimization can capture weak…

Numerical Analysis · Mathematics 2025-10-22 Hua Su , Lei Zhang , Jin Zhao

We have analytically determined the refractive index for the mechanical refraction of a relativistic particle for its all possible speeds. We have critically analysed the importance of Descartes' metaphysical theory and extended it in this…

Classical Physics · Physics 2024-05-27 Bikram Keshari Behera , Surendra Kumar Gour , Shyamal Biswas

Estimating the cosmic-ray acceleration efficiency $ \epsilon $ in supernova remnants (SNRs) through observations is a challenging task in general. Based on the Rankine-Hugoniot shock conditions, we find an anticorrelation between $ \epsilon…

High Energy Astrophysical Phenomena · Physics 2018-12-21 Yiran Zhang , Siming Liu

The viscous and rarefaction effects on centreline shock reflection occurring in an overexpanded axisymmetric microjet have been investigated numerically by means of a fully coupled pressure-based shock capturing scheme. Due to the low…

Fluid Dynamics · Physics 2024-10-18 Justin Kin Jun Hew , Hideaki Ogawa , Rod W. Boswell

The generation of turbulence at magnetized shocks and its subsequent interaction with the latter is a key question of plasma- and high-energy astrophysics. This paper presents two-dimensional magnetohydrodynamic simulations of a fast shock…

High Energy Astrophysical Phenomena · Physics 2018-01-09 Camilia Demidem , Martin Lemoine , Fabien Casse

We develop a theory based on relative entropy to show the uniqueness and L^2 stability (up to a translation) of extremal entropic Rankine-Hugoniot discontinuities for systems of conservation laws (typically 1-shocks, n-shocks, 1-contact…

Analysis of PDEs · Mathematics 2015-05-19 Nicholas Leger , Alexis Vasseur

We study the classical problem of planar shock refraction at an oblique density discontinuity, separating two gases at rest. When the shock impinges on the density discontinuity, it refracts and in the hydrodynamical case 3 signals arise.…

Fluid Dynamics · Physics 2015-05-13 P. Delmont , R. Keppens , B. van der Holst

Scaling laws and intermittency in the wall region of a turbulent flow are addressed by analyzing moderate Reynolds number data obtained by single component hot wire anemometry in the boundary layer of a flat plate. The paper aims in…

Chaotic Dynamics · Physics 2009-11-07 B. Jacob , A. Olivieri , C. M. Casciola

As predicted by A. Einstein [Ann. Phys. (Leipzig) 17, 891 (1905)], the electromagnetic wave reflected at a moving mirror is frequency-upshifted and intensified as high as the mirror velocity is close to the speed of light in vacuum.…

Optics · Physics 2023-10-23 T. Z. Esirkepov , S. V. Bulanov

We investigate the propagation of spherically symmetric shocks in relativistic homologously expanding media with density distributions following a power-law profile in their Lorentz factor. That is, $\rho_{ej} \propto…

High Energy Astrophysical Phenomena · Physics 2023-09-18 Taya Govreen-Segal , Noam Youngerman , Ishika Palit , Ehud Nakar , Amir Levinson , Omer Bromberg

We investigate linear resonant absorption by a dense ensemble of molecules confined to a subwavelength layer in two geometries: (i) a free-standing film in homogeneous space and (ii) the same film placed at a controlled distance from a…

Optics · Physics 2026-04-14 Zeyu Zhou , Maxim Sukharev , Abraham Nitzan , Joseph E. Subotnik

The special theory of relativity teaches us that, although distinct inertial frames perceive the same dynamical laws, space and time intervals differ in value. We revisit the problem of time contraction using the paradigmatic model of a…

Quantum Physics · Physics 2020-05-21 Matheus Fritsch Savi , Renato Moreira Angelo

We apply our recently developed code for spherically symmetric, fully general relativistic (GR) Lagrangian hydrodynamics and multigroup flux-limited diffusion neutrino transport to examine the effects of GR on the hydrodynamics and…

Astrophysics · Physics 2009-11-06 S. W. Bruenn , K. R. De Nisco , A. Mezzacappa

In the case of tunneling of relativistic particles, differently from the nonrelativistic case, a limit of "transparent" barrier can also lead to an apparent "superluminal" behavior when considering the phase time. In this limit, the…

Quantum Physics · Physics 2019-09-18 Massimo Germano

A wedge-shaped structure made of split-ring resonators (SRR) and wires is numerically simulated to evaluate its refraction behavior. Four frequency bands, namely, the stop band, left-handed band, ultralow-index band, and positive-index…

Optics · Physics 2007-05-23 Z. G. Dong , S. N. Zhu , H. Liu , J. Zhu , W. Cao

We use time-dependent, axisymmetric, hydrodynamic simulations to study the linear stability of the stalled, spherical accretion shock that arises in the post-bounce phase of core-collapse supernovae. We show that this accretion shock is…

Astrophysics · Physics 2009-11-13 John M. Blondin , Anthony Mezzacappa

We develop a new semi-dynamical method to study shock revival by neutrino heating in core- collapse supernovae. Our new approach is an extension of the previous studies that employ spherically symmetric, steady, shocked accretion flows…

High Energy Astrophysical Phenomena · Physics 2015-06-11 Hiroki Nagakura , Yu Yamamoto , Shoichi Yamada

Shock waves are supersonic disturbances propagating in a fluid and giving rise to dissipation and drag. Weak shocks, i.e., those of small amplitude, can be well described within the hydrodynamic approximation. On the other hand, strong…

High Energy Physics - Theory · Physics 2010-12-24 Sergei Khlebnikov , Martin Kruczenski , Georgios Michalogiorgakis

We study Bragg scattering at 1D atomic lattices. Cold atoms are confined by optical dipole forces at the antinodes of a standing wave generated inside a laser-driven cavity. The atoms arrange themselves into an array of lens-shaped layers…

Quantum Physics · Physics 2009-11-11 S. Slama , C. von Cube , M. Kohler , C. Zimmermann , Ph. W. Courteille

Solutions to hyperbolic conservation laws can be approximated in many different ways: by vanishing viscosity, relaxations, discrete or semi-discrete numerical schemes, approximation with a nonlocal flux, etc$\ldots$ For some of these…

Analysis of PDEs · Mathematics 2026-05-04 Alberto Bressan , Laura Caravenna , Wen Shen