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This paper studies the asymptotic stability of shock profiles and rarefaction waves under space-periodic perturbations for one-dimensional convex scalar viscous conservation laws. For the shock profile, we show that the solution approaches…

Analysis of PDEs · Mathematics 2019-08-02 Zhouping Xin , Qian Yuan , Yuan Yuan

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

Nonlinear evolution of a trans-Alfvenic shock wave (TASW), at which the flow velocity passes over the Alfven velocity, is computed in a magnetohydrodynamic approximation. The analytical theory suggests that an infinitesimal perturbation of…

Plasma Physics · Physics 2009-10-31 S. A. Markovskii , S. L. Skorokhodov

The relativistic wind of obliquely-rotating pulsars consists of toroidal stripes of opposite magnetic field polarity, separated by current sheets of hot plasma. By means of two- and three-dimensional particle-in-cell simulations, we…

High Energy Astrophysical Phenomena · Physics 2015-05-28 Lorenzo Sironi , Anatoly Spitkovsky

We investigate analytically the magnetic instability in a rotating and electrically conducting fluid induced by an imposed magnetic field with its associated electric current. The short-wavelength approximation is used in the linear…

Earth and Planetary Astrophysics · Physics 2013-08-22 Xing Wei

We present a novel method to evaluate the Alfven speed and the magnetic field strength along the streamer plasma sheet in the outer corona. The method is based on recent observations of streamer waves, which are regarded as the fast kink…

Solar and Stellar Astrophysics · Physics 2015-05-20 Y. Chen , S. W. Feng , B. Li , H. Q. Song , L. D. Xia , X. L. Kong , Xing Li

Cold ($T\sim 10^{4} \ \mathrm{K}$) gas is very commonly found in both galactic and cluster halos. There is no clear consensus on its origin. Such gas could be uplifted from the central galaxy by galactic or AGN winds. Alternatively, it…

Astrophysics of Galaxies · Physics 2018-07-10 Suoqing Ji , S. Peng Oh , Michael McCourt

Atomic physics calculations of radiative cooling are used to calculate criteria for the overstability of radiating shocks. Our calculations explain the measurement of shock overstability by Grun et al. and explain why the overstability was…

Astrophysics · Physics 2009-11-07 J. Martin Laming , Jacob Grun

We use a luminous fast magnetic rotator model to analyze the influence of a magnetic field on the linear waves induced in the wind of a massive star by the radiative instability. We show that a twisted magnetic field can drive a strong wind…

Astrophysics · Physics 2007-05-23 Henning Seemann , Peter L. Biermann

We aim to study the influence of radiative cooling on the standing kink oscillations of a coronal loop. Using the FLASH code, we solved the 3D ideal magnetohydrodynamic equations. Our model consists of a straight, density enhanced and…

Solar and Stellar Astrophysics · Physics 2015-10-30 N. Magyar , T. Van Doorsselaere , A. Marcu

It is shown that collisionless shock waves can be driven in unmagnetized electron-positron plasmas by performing a two-dimensional particle-in-cell simulation. At the shock transition region, strong magnetic fields are generated by a…

Astrophysics · Physics 2008-03-31 Tsunehiko N. Kato

The exact solutions for MHD shock waves in an ideal gas are obtained taking into consideration only the viscosity of the gas. In view of an axial magnetic field, the analytical expressions for the particle velocity, temperature, pressure…

High Energy Astrophysical Phenomena · Physics 2013-06-10 R. K. Anand , H. C. Yadav

We investigate the physics of quasi-parallel trans-relativistic shocks propagating in weakly magnetized plasmas by means of long-duration two-dimensional particle-in-cell simulations. The structure of the shock precursor is shaped by a…

High Energy Astrophysical Phenomena · Physics 2026-02-09 Taiki Jikei , Daniel Groselj , Lorenzo Sironi

We generalize the Rigid-Field Hydrodynamic equations to accommodate arbitrary magnetic field topologies, resulting in a new Arbitrary Rigid-Field hydrodynamic (ARFHD) formalism. We undertake a critical point calculation of the steady-state…

Solar and Stellar Astrophysics · Physics 2016-08-01 Christopher Bard , Richard H. D. Townsend

We consider the scenario of a magnetic field orthogonal to a front separating two media of different temperatures and densities, such as cold and warm interstellar gas, in a 2-D plane-parallel geometry. A linear stability analysis is…

Astrophysics of Galaxies · Physics 2011-02-11 Jennifer M. Stone , Ellen G. Zweibel

A magnetohydrodynamic (MHD) shock front can be unstable to the corrugation instability, which causes a perturbed shock front to become increasingly corrugated with time. An ideal MHD parallel shock (where the velocity and magnetic fields…

Solar and Stellar Astrophysics · Physics 2021-07-14 Ben Snow , Andrew Hillier

Superconducting cosmic string may admit shock-like discontinuities of the current when the latter is spacelike ("magnetic" regime), while no shock at timelike current ("electric" regime) was discovered in numerical simulations. We find that…

High Energy Physics - Theory · Physics 2016-01-28 Ernst Trojan , George V. Vlasov

We investigate the conditions under which parallel-propagating Alfv\'en/ion-cyclotron (A/IC) waves and fast-magnetosonic/whistler (FM/W) waves are driven unstable by the differential flow and temperature anisotropy of alpha particles in the…

Space Physics · Physics 2013-08-07 Daniel Verscharen , Sofiane Bourouaine , Benjamin D. G. Chandran

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,…

High Energy Astrophysical Phenomena · Physics 2019-04-03 Eric R. Coughlin , Stephen Ro , Eliot Quataert

The formation of shocks within the solar atmosphere remains one of the few observable signatures of energy dissipation arising from the plethora of magnetohydrodynamic waves generated close to the solar surface. Active region observations…