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Asymptotic decay laws for planar and nonplanar shock waves and the first order associated discontinuities that catch up with the shock from behind are obtained using four different approximation methods. The singular surface theory is used…

Analysis of PDEs · Mathematics 2014-04-14 Vishnu D. Sharma , Raghavendra Venkatraman

We have obtained a contiguous set of long-slit spectra of a shock wave in the Cygnus Loop to investigate its structure, which is far from the morphology predicted by 1D models. Proper motions from Hubble Space Telescope images combined with…

We experimentally investigate the impulsive shock propagation caused by an impact into vertically oriented 3D granular packings under gravity. We observe a crossover of wave propagation, from sound excitation at low impact to shock front…

Soft Condensed Matter · Physics 2025-09-18 S. van den Wildenberg , X. Nguyen , A. Tourin , X. Jia

Acoustic shock and acceleration waves in inhomogeneous fluids are investigated using both analytical and numerical methods. In the context of start-up signaling problems, and based on linear acoustics theory, we study the propagation of…

Fluid Dynamics · Physics 2018-11-13 R. S. Keiffer , P. M. Jordan , I. C. Christov

The description of shock waves beyond the shock point is a challenge in nonlinear physics. Finding solutions to the global dynamics of dispersive shock waves is not always possible due to the lack of integrability. Here we propose a new…

Pattern Formation and Solitons · Physics 2016-01-25 Maria Chiara Braidotti , Silvia Gentilini , Claudio Conti

We consider linear and nonlinear waves in a stratified hydrostatic fluid within a channel of variable area, under the restriction of one-dimensional flow. We derive a modified version of Riemann's invariant that is related to the wave…

Fluid Dynamics · Physics 2021-04-07 Christopher D. Matzner , Stephen Ro

We study the coherent flow of interacting Bose-condensed atoms in mesoscopic waveguide geometries. Analytical and numerical methods, based on the mean-field description of the condensate, are developed to study both stationary as well as…

Other Condensed Matter · Physics 2009-11-13 Tobias Paul , Michael Hartung , Klaus Richter , Peter Schlagheck

Diffusive acceleration at collisionless shock waves remains one of the most promising acceleration mechanisms for the description of the origin of cosmic rays at all energies. A crucial ingredient to be taken into account is the reaction of…

Astrophysics · Physics 2009-11-13 Elena Amato , Pasquale Blasi

The theory and simulations of quasi-perpendicular and strictly perpendicular collisionless shocks are reviewed. The text is structured into the following sections and subsections: 1. Setting the frame, where the quasi-perpendicular shock…

Astrophysics · Physics 2008-05-16 R. A. Treumann , C. H. Jaroschek

We study the long-time evolution of waves of a thin elastic plate in the limit of small deformation so that modes of oscillations interact weakly. According to the theory of weak turbulence a nonlinear wave system evolves in long-time…

Statistical Mechanics · Physics 2007-05-23 Gustavo During , Christophe Josserand , Sergio Rica

Waves and shocks traveling through the solar chromospheric plasma are influenced by its partial ionization and weak collisional coupling, and may become susceptible to multi-fluid effects, similar to interstellar shock waves. In this study,…

Solar and Stellar Astrophysics · Physics 2019-09-25 B. Popescu Braileanu , V. S. Lukin , E. Khomenko , A. de Vicente

The work addresses 2D and 3D turbulent transonic flows past a wall with an expansion corner. A curved shock wave is formed upstream of a cylinder located above the corner. Numerical solutions of the Reynolds-averaged Navier-Stokes equations…

Fluid Dynamics · Physics 2015-03-31 Alexander Kuzmin

We present a linear dispersive partial differential equation which manifests a number of qualitative features of dispersive shocks, typically thought to occur only in nonlinear models. The model captures much of the short time phenomenon…

Analysis of PDEs · Mathematics 2019-08-26 David Smith , Thomas Trogdon , Vishal Vasan

Whistler waves are thought to play an essential role in the dynamics of collisionless shocks. We use the magnetospheric multiscale (MMS) spacecraft to study whistler waves around the lower hybrid frequency, upstream of 11…

We considered the structure of steady-state radiative shock waves propagating in the partially ionized hydrogen gas with density rho1 = 1e-10 gm/cm^3 and temperature 3000K <= T1 <= 8000K. The radiative shock wave models with electron…

Astrophysics · Physics 2009-11-07 Yu. A. Fadeyev , H. Le Coroller , D. Gillet

Nonlinear waves are studied in a mixture of liquid and gas bubbles. Influence of viscosity and heat transfer is taken into consideration on propagation of the pressure waves. Nonlinear evolution equations of the second and the third order…

Pattern Formation and Solitons · Physics 2011-12-23 Nikolay A. Kudryashov , Dmitry I. Sinelshchikov

We study a dispersive counterpart of the classical gas dynamics problem of the interaction of a shock wave with a counter-propagating simple rarefaction wave often referred to as the shock wave refraction. The refraction of a…

Pattern Formation and Solitons · Physics 2015-05-28 G. A. El , V. V. Khodorovskii , A. M. Leszczyszyn

The effect of nonlinear transmission in coupled optical waveguide arrays is theoretically investigated via numerical simulations on the corresponding model equations. The realistic experimental setup is suggested injecting the beam in a…

Condensed Matter · Physics 2009-11-10 Ramaz Khomeriki

We here analyse numerical simulations of supersonic, hypersonic and magnetohydrodynamic turbulence that is free to decay. Our goals are to understand the dynamics of the decay and the characteristic properties of the shock waves produced.…

Astrophysics · Physics 2007-05-23 Michael D. Smith , Mordecai-Mark Mac Low , Julia M. Zuev

Acoustic waves propagation of in composite of water with embedded double-layered silicone resin/silver rods is considered. Approximate values of effective dynamical constitutive parameters are obtained. Frequency ranges of simultaneous…

Other Condensed Matter · Physics 2010-12-22 Ivan Lisenkov , Roman Popov , Sergey Nikitov
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