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1

BEN ABDALLAH, NAOUFEL, HEDIA CHAKER, and CHRISTIAN SCHMEISER. "THE HIGH FIELD ASYMPTOTICS FOR A FERMIONIC BOLTZMANN EQUATION: ENTROPY SOLUTIONS AND KINETIC SHOCK PROFILES." Journal of Hyperbolic Differential Equations 04, no. 04 (2007): 679–704. http://dx.doi.org/10.1142/s0219891607001318.

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The high field approximation of a fermionic Boltzmann equation of semiconductors is performed after the formation of shocks. By employing a new entropy, whose dissipation measures the departure from the high field equilibrium, convergence towards the entropic solution of the limiting conservation law is proven. The entropy is also used to construct kinetic shock profiles for entropic shocks and to prove non-existence of non-entropic shock profiles.
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Smith, M. D., and P. W. J. L. Brand. "H2 profiles of C-type bow shocks." Monthly Notices of the Royal Astronomical Society 245, no. 1 (1990): 108. http://dx.doi.org/10.1093/mnras/245.1.108.

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Summary We present emission-line profiles of molecular hydrogen from curved C-shocks within molecular clouds. Shock configurations arising from the supersonic motion of jets and bullets within a dense cloud are chosen. Bow shock speeds in the range vw = 40-200 km s-1 are investigated. Breakdown through dissociation and selfionization restricts the C-shock section to the bow tail. We find that profiles ire essentially single-peaked and narrow with full widths (at 10 per cent maximum intensity, deconvolved) of up to about 50,40 and 30 km s-1 for cones, hemispherical caps and paraboloids, respect
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3

Barker, Blake, and Kevin Zumbrun. "Numerical proof of stability of viscous shock profiles." Mathematical Models and Methods in Applied Sciences 26, no. 13 (2016): 2451–69. http://dx.doi.org/10.1142/s0218202516500585.

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We carry out the first rigorous numerical proof based on Evans function computations of stability of viscous shock profiles, for the system of isentropic gas dynamics with monatomic equation of state. We treat a selection of shock strengths ranging from the lower stability boundary of Mach number [Formula: see text], below which profiles are known by energy estimates to be stable, to the upper stability boundary of [Formula: see text], above which profiles are expected to be provable by rigorous asymptotic analysis to be stable. These results open the possibilities of: (i) automatic rigorous v
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4

Fuda, Nguyen, Le Ngoc Tram, and William T. Reach. "Modeling CO Line Profiles in Shocks of W28 and IC 443." Astrophysical Journal 944, no. 1 (2023): 17. http://dx.doi.org/10.3847/1538-4357/acb259.

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Abstract Molecular emission arising from the interactions of supernova remnant (SNR) shock waves and molecular clouds provide a tool for studying the dispersion and compression that might kick-start star formation as well as understanding cosmic-ray production. Purely rotational CO emission created by magnetohydrodynamic shock in the SNR–molecular cloud interaction is an effective shock tracer, particularly for slow-moving, continuous shocks into cold inner clumps of the molecular cloud. In this work, we present a new theoretical radiative transfer framework for predicting the line profile of
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5

ASAKURA, FUMIOKI, and MITSURU YAMAZAKI. "VISCOUS SHOCK PROFILES FOR 2 × 2 SYSTEMS OF HYPERBOLIC CONSERVATION LAWS WITH AN UMBILIC POINT." Journal of Hyperbolic Differential Equations 06, no. 03 (2009): 483–524. http://dx.doi.org/10.1142/s0219891609001903.

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This article analyzes the existence of viscous shock profiles joining two states satisfying the Rankine–Hugoniot condition that comes from hyperbolic 2 × 2 systems of conservation laws having quadratic flux functions with an isolated umbilic point: the point where the characteristic speeds coincide and the Jacobian matrix of the flux functions is diagonalizable. The systems studied in this note are particularly in Schaeffer and Shearer's cases I and II which are relevant to the three-phase Buckley–Leverett model for oil reservoir flow. It is shown that any compressive and overcompressive shock
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GOODMAN, JEREMY, and ANDREW MACFADYEN. "Ultra-relativistic geometrical shock dynamics and vorticity." Journal of Fluid Mechanics 604 (May 14, 2008): 325–38. http://dx.doi.org/10.1017/s0022112008001249.

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Geometrical shock dynamics, also called CCW theory, yields approximate equations for shock propagation in which only the conditions at the shock appear explicitly; the post-shock flow is presumed approximately uniform and enters implicitly via a Riemann invariant. The non-relativistic theory, formulated by G. B. Whitham and others, matches many experimental results surprisingly well. Motivated by astrophysical applications, we adapt the theory to ultra-relativistic shocks advancing into an ideal fluid whose pressure is negligible ahead of the shock, but is one third of its proper energy densit
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Howard, Peter, and Kevin Zumbrun. "Stability of undercompressive shock profiles." Journal of Differential Equations 225, no. 1 (2006): 308–60. http://dx.doi.org/10.1016/j.jde.2005.09.001.

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Yang, Zhao, and Kevin Zumbrun. "Stability of Hydraulic Shock Profiles." Archive for Rational Mechanics and Analysis 235, no. 1 (2019): 195–285. http://dx.doi.org/10.1007/s00205-019-01422-4.

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9

Held, Manfred. "Shock Profiles Along a Specimen." Propellants, Explosives, Pyrotechnics 24, no. 6 (1999): 360–65. http://dx.doi.org/10.1002/(sici)1521-4087(199912)24:6<360::aid-prep360>3.0.co;2-t.

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10

Jadhav, Ravi Sudam, and Amit Agrawal. "Shock Structures Using the OBurnett Equations in Combination with the Holian Conjecture." Fluids 6, no. 12 (2021): 427. http://dx.doi.org/10.3390/fluids6120427.

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In the present work, we study the normal shock wave flow problem using a combination of the OBurnett equations and the Holian conjecture. The numerical results of the OBurnett equations for normal shocks established several fundamental aspects of the equations such as the thermodynamic consistency of the equations, and the existence of the heteroclinic trajectory and smooth shock structures at all Mach numbers. The shock profiles for the hydrodynamic field variables were found to be in quantitative agreement with the direct simulation Monte Carlo (DSMC) results in the upstream region, whereas
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11

Zhang, Y., J. M. Stewart, B. Morosin, R. A. Graham, and C. R. Hubbard. "X-Ray Line Broadening Study on Shock-Modified Hematite." Advances in X-ray Analysis 31 (1987): 287–94. http://dx.doi.org/10.1154/s0376030800022096.

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AbstractHematite (α-Fe2O3) powder compacts have been subjected to controlled, quantitative high pressure shock loading at peak pressures from 8-27 GPa and preserved for post shook analysis. The broadened x-ray diffraction peak profiles have been analyzed to determine the residual lattice strain and the coherent crystallite sizes. Maximum modification effects are observed near 17 GPa with strain values near 3 x 10-3 and size values near 200 Å suggesting annealing at higher shock pressure, resulting from the higher shock temperature.
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12

Thölken, Sophia, Thomas H. Reiprich, Martin W. Sommer, and Naomi Ota. "Discovery of large scale shock fronts correlated with the radio halo and radio relic in the A2163 galaxy cluster." Astronomy & Astrophysics 619 (November 2018): A68. http://dx.doi.org/10.1051/0004-6361/201834053.

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Context. Galaxy clusters form at the intersections of the filamentary large scale structure in merging events and by the accretion of matter along these filaments. Imprints of these formation processes should be visible in the intracluster medium and can arise in shock fronts, which are detectable via discontinuities in, for example, the gas temperature and density profiles. However, relatively few observational examples of prominent shocks have been detected in X-rays so far. Aims. In this study, we investigate the X-ray properties of the intracluster gas and the radio morphology of the extra
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13

Kahler, S. W., V. G. Stolpovskii, and E. I. Daibog. "Coronal Mass Ejections and the Rise Profiles of 0.3 MeV Electron Events." International Astronomical Union Colloquium 144 (1994): 479–82. http://dx.doi.org/10.1017/s0252921100025847.

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AbstractThere is some evidence to suggest that relativistic electrons observed in interplanetary space may be produced in coronal shocks. If so, the rise phases of such events may be longer than those not arising in shocks. To test this possibility, we examined the rise profiles ofE&amp;lt; 0.3MeVelectron events observed on the Helios spacecraft. First we compared rise times of electron events associated with short-duration X-ray flares to events with long-duration X-ray flares. The latter events are more likely than the former to be associated with coronal shocks and coronal mass ejections (C
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14

Ge, Changfeng, Kyle Dunno, Mukul Anand Singh, Long Yuan, and Li-Xin Lu. "Development of a Drone’s Vibration, Shock, and Atmospheric Profiles." Applied Sciences 11, no. 11 (2021): 5176. http://dx.doi.org/10.3390/app11115176.

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Technological advances in unmanned aerial vehicles (UAVs) have made it possible to employ drone deliveries for packaged products, but currently no standards of practice are available to qualify packaged products traveling through this distribution channel. This research proposes a methodology to collect field data from a UAV to develop simulation techniques for use with package testing equipment. This project utilized data recorders to measure the vibration, shock, and atmospheric field data on two models of the DJI drones. The root mean square G value (Grms), the power spectral density (PSD),
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15

Liao, Chang Rong, J. H. Hao, D. X. Zhao, and K. L. Wang. "Study on Design Method of Magneto-Rheological Fluid Shock Absorber Employing Shear Rate Profiles and Experimental Tests." Applied Mechanics and Materials 121-126 (October 2011): 1095–99. http://dx.doi.org/10.4028/www.scientific.net/amm.121-126.1095.

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The flow differential equation for Magneto-rheological (MR) fluids in annular channels of MR fluid shock absorber is set up and several rational simplifications are made. Analytical shear stress profiles of MR fluids through annular channels are obtained via solution of the flow differential equation. An analytical study on MR fluid shock absorber is present employing shear stress profiles. Both boundary conditions and compatible conditions are established. Both flow velocity profiles and total volumetric flow rate are developed by integration by parts and numerical integration. The prediction
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16

Lattanzio, Corrado, Corrado Mascia, Toan Nguyen, Ramón G. Plaza, and Kevin Zumbrun. "Stability of Scalar Radiative Shock Profiles." SIAM Journal on Mathematical Analysis 41, no. 6 (2010): 2165–206. http://dx.doi.org/10.1137/09076026x.

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17

Sukhtayev, Alim, Zhao Yang, and Kevin Zumbrun. "Spectral stability of hydraulic shock profiles." Physica D: Nonlinear Phenomena 405 (April 2020): 132360. http://dx.doi.org/10.1016/j.physd.2020.132360.

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18

Karni, S. "Viscous Shock Profiles and Primitive Formulations." SIAM Journal on Numerical Analysis 29, no. 6 (1992): 1592–609. http://dx.doi.org/10.1137/0729092.

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19

Margolin, L. G., J. M. Reisner, and P. M. Jordan. "Entropy in self-similar shock profiles." International Journal of Non-Linear Mechanics 95 (October 2017): 333–46. http://dx.doi.org/10.1016/j.ijnonlinmec.2017.07.003.

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Zhang, Congyao, Eugene Churazov, William R. Forman, and Natalia Lyskova. "Runaway merger shocks in galaxy cluster outskirts and radio relics." Monthly Notices of the Royal Astronomical Society 488, no. 4 (2019): 5259–66. http://dx.doi.org/10.1093/mnras/stz2135.

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ABSTRACT Moderately strong shocks arise naturally when two subclusters merge. For instance, when a smaller subcluster falls into the gravitational potential of a more massive cluster, a bow shock is formed and moves together with the subcluster. After pericentre passage, however, the subcluster is decelerated by the gravity of the main cluster, while the shock continues moving away from the cluster centre. These shocks are considered as promising candidates for powering radio relics found in many clusters. The aim of this paper is to explore the fate of such shocks when they travel to the clus
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21

Zhu, Z. Y., H. P. Lee, and B. T. Cheok. "Finite Element Analysis of Mechanical Shock Responses of RF Connectors." Journal of Electronic Packaging 125, no. 1 (2003): 144–52. http://dx.doi.org/10.1115/1.1536950.

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A numerical study of the effects of mechanical shock on Radio Frequency (RF) connectors is presented. The finite element method is used to analyze the mechanical shock responses of RF connectors. Three commonly used shock profiles, namely the rectangular, the triangular, and the half-sine profiles are considered. The effect of added mass as well as the direction of mechanical shock are also analyzed and discussed.
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22

MEI, MING. "STABILITY OF SHOCK PROFILES FOR NONCONVEX SCALAR VISCOUS CONSERVATION LAWS." Mathematical Models and Methods in Applied Sciences 05, no. 03 (1995): 279–96. http://dx.doi.org/10.1142/s0218202595000188.

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This paper is to study the stability of shock profiles for nonconvex scalar viscous conservation laws with the nondegenerate and the degenerate shock conditions by means of an elementary energy method. In both cases, the shock profiles are proved to be asymptotically stable for suitably small initial disturbances. Moreover, in the case of nondegenerate shock condition, time decay rates of asymptotics are also obtained.
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23

Whyte, Lyle G., and William E. Inniss. "Cold shock proteins and cold acclimation proteins in a psychrotrophic bacterium." Canadian Journal of Microbiology 38, no. 12 (1992): 1281–85. http://dx.doi.org/10.1139/m92-211.

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The synthesis of proteins in the psychrotrophic bacterium Bacillus psychrophilus in response to both cold shock and continuous growth at low temperatures was examined. Cold shocks of 20 to 0, 5, or 10 °C resulted in the induction of nine, seven, and five cold shock proteins, respectively, as determined by 2-dimensional gel electrophoresis and computing scanning laser densitometry. Two cold shock proteins, with molecular masses of 61 and 34 kDa, which were induced in B. psychrophilus by cold shocks of 20 to 0 or 5 °C, were not induced in a cold-sensitive mutant of B. psychrophilus. Analysis of
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24

Ocker, Stella Koch, and Maren Cosens. "Probing the Low-velocity Regime of Nonradiative Shocks with Neutron Star Bow Shocks." Astrophysical Journal Letters 975, no. 2 (2024): L31. http://dx.doi.org/10.3847/2041-8213/ad87cf.

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Abstract Nonradiative shocks accelerate particles and heat astrophysical plasmas. While supernova remnants are the most well-studied example, neutron star (NS) bow shocks are also nonradiative and Balmer dominated. NS bow shocks are likely ubiquitous in the interstellar medium due to their large speeds imparted at birth, and they are thought to be a discrete source population contributing to the Galactic cosmic-ray spectrum. To date, nine NS bow shocks have been directly observed in Hα images. Most of these shocks have been characterized using narrowband Hα imaging and slit spectroscopy, which
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25

RAOOFI, MOHAMMADREZA. "Lp ASYMPTOTIC BEHAVIOR OF PERTURBED VISCOUS SHOCK PROFILES." Journal of Hyperbolic Differential Equations 02, no. 03 (2005): 595–644. http://dx.doi.org/10.1142/s0219891605000567.

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We investigate the Lp asymptotic behavior (1 ≤ p ≤ ∞) of a perturbation of a Lax or overcompressive type shock wave solution to a system of conservation law in one dimension. The system of the equations can be strictly parabolic, or partially parabolic (real viscosity case, e.g. compressible Navier–Stokes equations or equations of Magnetohydrodynamics). We use known pointwise Green function bounds for the linearized equation around the shock to show that the perturbation of such a solution can be decomposed into a part corresponding to shift in shock position or shape, a part which is the sum
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FAN, HAITAO, and HAILIANG LIU. "PATTERN FORMATION, WAVE PROPAGATION AND STABILITY IN CONSERVATION LAWS WITH SLOW DIFFUSION AND FAST REACTION." Journal of Hyperbolic Differential Equations 01, no. 04 (2004): 605–26. http://dx.doi.org/10.1142/s0219891604000275.

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The limiting behavior of the solution of a scalar conservation law with slow diffusion and fast bistable reaction is considered. In a short time the solution develops transition patterns connected by shock layers and rarefaction layers, when the initial data has finitely many monotone pieces. The existence and uniqueness of the front profiles for both shock layers and rarefaction layers are established. A variational characterization of wave speeds of these profiles is derived. These profiles are shown to be stable. Furthermore, it is proved that solutions with monotone initial data approach t
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Fokin, Andrew. "A Full-Amplitude Nonlinear Model for RR Lyr: Pulsations, Shock Waves and Hα Peculiarities". International Astronomical Union Colloquium 139 (1993): 265. http://dx.doi.org/10.1017/s0252921100117555.

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AbstractThe shock phenomena and Hα formation in the atmosphere of RR Lyrae are investigated by means of numerical simulations. The full-amplitude hydrodynamical model is generated, adopting M = 0.578M⊙, L = 62L⊙, Teff = 7175K and Population II composition. The Hα profiles are obtained by solution of the non-LTE line transfer problem for the multilevel hydrogen atom. In the course of pulsations an extended (about 16 static scales) low-density atmosphere is produced with nearly exponential density decrease. Two shocks, propagating outwards, are successively generated during one period. The shock
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28

M., Gowtham, Sreenivasaraja N., and Kasmir Anthireyan. "MATHEMATICAL DERIVATION OF DIFFERENT NOSE ANGLES TO REDUCE DRAG FORCE ON ROCKET." International Journal of Innovative Research in Advanced Engineering 9, no. 12 (2022): 471–82. http://dx.doi.org/10.26562/ijirae.2022.v0912.03.

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This article elaborates on the study of the mathematical expressions for the different nose profiles and their dimensions. The chosen nose profiles are Conical, Bi-conic, Parabolic, Elliptical, and Ogive. And order to improve the study of the pressure coefficient, shock wave angle, shock location, and drag characteristics of nose profiles to select which profile is preferable for a rocket under the aerodynamic forces.
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Zhu, Z., A. Simionescu, H. Akamatsu, et al. "A shock near the virial radius of the Perseus Cluster." Astronomy & Astrophysics 652 (August 2021): A147. http://dx.doi.org/10.1051/0004-6361/202140673.

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Context. Previous X-ray studies of the Perseus Cluster, consisting of 85 Suzaku pointings along eight azimuthal directions, revealed a particularly steep decrease in the projected temperature profile near the virial radius (∼r200) towards the northwest (NW). Aims. To further explore this shock candidate, another 4 Suzaku observations on the NW edge of the Perseus Cluster have been obtained. These deeper data were designed to provide the best possible control of systematic uncertainties in the spectral analysis. Methods. Using the combined Suzaku observations, we have carefully investigated thi
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Engelberg, Shlomo, and Steven Schochet. "Nonintegrable perturbations of scalar viscous shock profiles." Asymptotic Analysis 48, no. 1-2 (2006): 121–40. https://doi.org/10.3233/asy-2006-754.

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Solutions of scalar viscous conservation laws whose initial data are bounded and tend at x=±∞ to values that may be connected by a shock profile are shown to converge in L∞ to a time-dependent translation of that profile. Unlike the standard theory, the initial data is not restricted to be an L1 perturbation of the shock profile, and the translation may not be linear in time. Estimates for the translation are obtained.
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Reach, William T., Le Ngoc Tram, Curtis DeWitt, Pierre Lesaffre, Benjamin Godard, and Antoine Gusdorf. "Supernova Shocks in Molecular Clouds: Shocks Driven into Dense Cores in IC 443 and 3C 391." Astrophysical Journal 977, no. 2 (2024): 149. https://doi.org/10.3847/1538-4357/ad8d59.

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Abstract Supernova shocks into dense molecular cores in IC 443 (clumps B, C, and G) and 3C 391 were observed using the Stratospheric Observatory for Infrared Astronomy and complemented by archival data from the Herschel Space Observatory. The pure rotational transitions 0–0 S(1) and S(5) of H2, and the ground-state 110–101 transition of H2O, are all broadened, arising from molecules that survive the passage of the shock front. Theoretical models from the Paris–Durham shock code were analyzed to generate velocity profiles that approximately match the observations. The observations can be fit wi
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Coulombel, Jean-Francois, and Pauline Lafitte. "Computation of Shock Profiles in Radiative Hydrodynamics." Communications in Computational Physics 6, no. 5 (2009): 1118–36. http://dx.doi.org/10.4208/cicp.2009.v6.p1118.

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Uribe, F. J., R. M. Velasco, L. S. García-Colín, and E. Díaz-Herrera. "Shock wave profiles in the Burnett approximation." Physical Review E 62, no. 5 (2000): 6648–66. http://dx.doi.org/10.1103/physreve.62.6648.

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Mascia, Corrado, and Kevin Zumbrun. "Spectral Stability of Weak Relaxation Shock Profiles." Communications in Partial Differential Equations 34, no. 2 (2009): 119–36. http://dx.doi.org/10.1080/03605300802553971.

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Gómez-Ruiz, A. I., C. Codella, S. Viti, et al. "Diagnosing shock temperature with NH3and H2O profiles." Monthly Notices of the Royal Astronomical Society 462, no. 2 (2016): 2203–17. http://dx.doi.org/10.1093/mnras/stw1811.

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Lin, Chunjin, Jean-François Coulombel, and Thierry Goudon. "Shock profiles for non-equilibrium radiating gases." Physica D: Nonlinear Phenomena 218, no. 1 (2006): 83–94. http://dx.doi.org/10.1016/j.physd.2006.04.012.

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Zhong, Pei, Yufeng Zhou, Franklin H. Cocks, Charles Marguet, Glenn M. Preminger, and John Madden. "Tissue response to modified shock wave profiles." Journal of the Acoustical Society of America 117, no. 4 (2005): 2383. http://dx.doi.org/10.1121/1.4785659.

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Barker, Blake, Marta Lewicka, and Kevin Zumbrun. "Existence and Stability of Viscoelastic Shock Profiles." Archive for Rational Mechanics and Analysis 200, no. 2 (2010): 491–532. http://dx.doi.org/10.1007/s00205-010-0363-1.

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Fraschetti, F., and J. Giacalone. "Bi-directional streaming of particles accelerated at the STEREO-A shock on 2008 March 9." Monthly Notices of the Royal Astronomical Society 499, no. 2 (2020): 2087–93. http://dx.doi.org/10.1093/mnras/staa3021.

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ABSTRACT We present an interpretation of anisotropy and intensity of supra-thermal ions near a fast quasi-perpendicular reverse shock measured by Solar Terrestrial Relations Observatory Ahead (ST-A) on 2008 March 9. The measured intensity profiles of the supra-thermal particles exhibit an enhancement, or ‘spike’, at the time of the shock arrival and pitch-angle anisotropies before the shock arrival are bi-modal, jointly suggesting trapping of near-scatter-free ions along magnetic field lines that intersect the shock at two locations. We run test-particle simulations with pre-existing upstream
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Raymond, John C., Nelson Caldwell, Ji Yeon Seok, and Bon-Chul Koo. "Shock Wave Ram Pressure and Global Evolution of the Cygnus Loop." Astrophysical Journal 987, no. 1 (2025): 2. https://doi.org/10.3847/1538-4357/add99b.

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Abstract We assess the diagnostic for shock wave ram pressure, ρ V s 2 ∝ I [ O III ] V Dopp , and apply it to high-resolution multifiber spectra of the Cygnus Loop. We find that, while there are many caveats, and while high-resolution profiles are important for controlling some sources of error, the diagnostic is reliable if one selects positions with simple line profiles that are offset away from zero velocity. The Cygnus Loop shows a range of conditions from ≈400 km s−1 nonradiative shocks that produce X-rays to ≈100 km s−1 radiative shocks that produce bright optical emission. We find a ran
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Ueda, Shutaro, and Yuto Ichinohe. "Three-dimensional Thermodynamic Structures of the Intracluster Medium across Edges in the X-Ray Surface Brightness of Massive, Bright, Dynamically Active Galaxy Clusters." Astrophysical Journal 973, no. 2 (2024): 98. http://dx.doi.org/10.3847/1538-4357/ad63a4.

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Abstract We present a detailed study of three-dimensional (3D) thermodynamic structures of the intracluster medium (ICM) across edges in the X-ray surface brightness of four massive, bright, dynamically active galaxy clusters (A3667, A2319, A520, and A2146), with the Chandra X-ray Observatory. Based on a forward modeling approach developed in previous work, we extend this approach with more generalized ICM density and temperature profiles, allowing us to apply uniformly to the observed X-ray surface brightness profiles to detect edges and measure the 3D thermodynamic profiles of the ICM simult
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de Witt, A., and D. P. Smits. "Groundstate OH masers associated with Herbig-Haro objects." Proceedings of the International Astronomical Union 3, S242 (2007): 172–75. http://dx.doi.org/10.1017/s1743921307012860.

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AbstractJets from newly-formed stars plow into the surrounding ISM, creating nebulous regions known as Herbig-Haro (HH) objects. Signatures of C-type shocks have been found in many HH objects. Models of shock-excited 1720-MHz OH masers associated with SNRs suggest that the masers could be signposts of C-type shocks. We have conducted a 1720MHz survey towards a number of HH objects to see if any shock-excited masers occur in association with these objects. Some results of our search are reported. When present, the 1720-MHz OH line can occur as emission, absorption or as P Cygni profiles. OH mai
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Des Forêts, G. Pineau, D. R. Flower, and J. P. Chièze. "The Physical and Chemical Effects of C-Shocks in Molecular Outflows." Symposium - International Astronomical Union 182 (1997): 199–212. http://dx.doi.org/10.1017/s0074180900061659.

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The bow shocks which are observed in jets associated with low-mass star formation probably have C-shock characteristics over at least part of their extent. We show that ion-neutral streaming in C-type shocks can give rise to the release of significant amounts of silicon from the refractory cores of dust grains and hence to the formation of SiO in the gas phase. The computed profiles of SiO emission lines are found to be qualitatively similar to those observed in molecular outflow regions such as L1448. The question of the validity of the stationary-state assumption, adopted in all previous stu
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Kambouchev, Nayden, Raul Radovitzky, and Ludovic Noels. "Fluid–Structure Interaction Effects in the Dynamic Response of Free-Standing Plates to Uniform Shock Loading." Journal of Applied Mechanics 74, no. 5 (2006): 1042–45. http://dx.doi.org/10.1115/1.2712230.

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The problem of uniform shocks interacting with free-standing plates is studied analytically and numerically for arbitrary shock intensity and plate mass. The analysis is of interest in the design and interpretation of fluid–structure interaction (FSI) experiments in shock tubes. In contrast to previous work corresponding to the case of incident blast profiles of exponential distribution, all asymptotic limits obtained here are exact. The contributions include the extension of Taylor’s FSI analysis for acoustic waves, the exact analysis of the asymptotic limits of very heavy and very light plat
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Berthon, C., B. Boutin, and R. Turpault. "Shock Profiles for the Shallow-Water Exner Models." Advances in Applied Mathematics and Mechanics 7, no. 3 (2015): 267–94. http://dx.doi.org/10.4208/aamm.2013.m331.

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AbstractThis article is devoted to analyze some ambiguities coming from a class of sediment transport models. The models under consideration are governed by the coupling between the shallow-water and the Exner equations. Since the PDE system turns out to be an hyperbolic system in non conservative form, ambiguities may occur as soon as the solution contains shock waves. To enforce a unique definition of the discontinuous solutions, we adopt the path-theory introduced by Dal Maso, LeFLoch and Murat [18]. According to the path choices, we exhibit several shock definitions and we prove that a sho
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Pitňa, Alexander, Jana Šafránková, Zdeněk Němeček, et al. "Turbulent Heating of Solar Wind Plasma Downstream of Magnetohydrodynamic Shocks." Astrophysical Journal 963, no. 2 (2024): 161. http://dx.doi.org/10.3847/1538-4357/ad1c64.

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Abstract Interplanetary (IP) shocks are believed to play a significant role in both amplifying the background level of turbulent fluctuations and in heating the bulk solar wind (SW). This study investigates the thermodynamic properties downstream of IP shocks. We examine the temperature, density, and specific entropy changes in the shocked plasma, taking into consideration the geometric aspects of IP shock propagation within the expanding SW. Specifically, in our analysis, we account for the fact that any particular temporal range of one-point measurement may correspond to vastly different phy
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Morrison, J. B., S. H. Martin, D. G. Robinson, et al. "Development of a Comprehensive Method of Health Hazard Assessment for Exposure to Repeated Mechanical Shocks." Journal of Low Frequency Noise, Vibration and Active Control 16, no. 4 (1997): 245–56. http://dx.doi.org/10.1177/026309239701600403.

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This study describes a Health Hazard Assessment (HHA) method for evaluating exposures to repeated shocks in tactical ground vehicles (TGV). This method will predict the risk of injury to the crew of a TGV given its acceleration signature. The HHA will identify both acute and chronic health risks resulting from either a single shock, or prolonged exposure due to travel over rough terrain. The HHA is based partly on existing models, human response and injury data, as well as partly on experimental data obtained from volunteers exposed to a range of shock profiles and to prolonged repeated shock
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Черепанов, И. А., А. С. Савиных та С. В. Разоренов. "Откол в сапфире при ударном сжатии в различных кристаллографических направлениях". Журнал технической физики 90, № 6 (2020): 961. http://dx.doi.org/10.21883/jtf.2020.06.49283.368-19.

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Shock wave profiles of sapphire with eight crystallographic orientations с m, a, s, r, g, n and d -cut were measured at shock stresses in the range 15–20 GPa. Measured values of spall strength depend on direction of shock compression and peak shock stress. The largest spall strength values ~12–13 GPa were recorded for peak shock stress 16 GPa along the a-axis and the m-direction.
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Siklosi, Malin, Begzsuren Batzorig, and Gunilla Kreiss. "An investigation of the internal structure of shock profiles for shock capturing schemes." Journal of Computational and Applied Mathematics 201, no. 1 (2007): 8–29. http://dx.doi.org/10.1016/j.cam.2006.01.036.

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Arora, Rajan, Amit Tomar, and Ved Pal Singh. "SIMILARITY SOLUTIONS FOR STRONG SHOCKS IN A NON-IDEAL GAS." Mathematical Modelling and Analysis 17, no. 3 (2012): 351–65. http://dx.doi.org/10.3846/13926292.2012.685957.

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A group theoretic method is used to obtain an entire class of similarity solutions to the problem of shocks propagating through a non-ideal gas and to characterize analytically the state dependent form of the medium ahead for which the problem is invariant and admits similarity solutions. Different cases of possible solutions, known in the literature, with a power law, exponential or logarithmic shock paths are recovered as special cases depending on the arbitrary constants occurring in the expression for the generators of the transformation. Particular case of collapse of imploding cylindrica
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