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This paper investigates evolution of cosmic structures in different environments. For this purpose the quasispherical Szekeres model is employed. The Szekeres model is an exact solution of the Einstein field equations within which it is…

Astrophysics · Physics 2013-05-29 Krzysztof Bolejko

In this paper, we study the uniqueness of the steady 1-D shock solutions for the inviscid compressible Euler system in a finite nozzle via asymptotic analysis for physical parameters. The parameters for the heat conductivity and the…

Analysis of PDEs · Mathematics 2023-11-14 Beixiang Fang , Su Jiang , Piye Sun

Wave front propagation with non-trivial bottom topography is studied within the formalism of hyperbolic long wave models. Evolution of non-smooth initial data is examined, and in particular the splitting of singular points and their short…

Mathematical Physics · Physics 2022-01-06 R. Camassa , R. D'Onofrio , G. Falqui , G. Ortenzi , M. Pedroni

We investigate whether the drag instability, proposed by Gu et al., occurs in a one-dimensional (1D) C-shock. The 1D background model proposed by Chen and Ostriker for a steady isothermal C-shock is adopted, and a 1D isothermal linear…

Solar and Stellar Astrophysics · Physics 2020-08-05 Pin-Gao Gu , Che-Yu Chen

This paper presents the development of a density-based solver suitable for cavitating flows in the OpenFOAM framework. In this solver, the thermodynamic equilibrium mixture approach is adopted to model the presence of and the phase…

Fluid Dynamics · Physics 2020-09-11 M. H. Arabnejad , R. E. Bensow

Using high resolution, two-dimensional hydrodynamical simulations, we investigate the evolution of a self-gravitating multi-phase interstellar medium in the central kiloparsec region of a galactic disk. We find that a gravitationally and…

Astrophysics · Physics 2009-10-31 Keiichi Wada , C. A. Norman

We consider the formation and evolution of vortices in a hydrodynamic shearing-sheet model. The evolution is done numerically using a version of the ZEUS code. Consistent with earlier results, an injected vorticity field evolves into a set…

Astrophysics · Physics 2009-11-11 Bryan M. Johnson , Charles F. Gammie

We investigate the stability of bounded self-gravitating systems in the canonical ensemble by using a thermodynamical approach. Our study extends the earlier work of Padmanabhan [Astrophys. J. Supp. 71, 651 (1989)] in the microcanonical…

Astrophysics · Physics 2009-11-06 P. -H. Chavanis

The Stokes equation with the varying viscosity is considered in a thin tube structure, i.e. in a connected union of thin rectangles with heights of order $\varepsilon<<1 $ and with bases of order 1 with smoothened boundary. An asymptotic…

Analysis of PDEs · Mathematics 2014-03-25 G. Cardone , R. Fares , G. P. Panasenko

Using an athermal quasistatic simulation protocol, we study the distribution of free volumes in sheared hard-particle packings close to, but below, the random-close packing threshold. We show that under shear, and independent of volume…

Soft Condensed Matter · Physics 2015-10-28 Moumita Maiti , H. A. Vinutha , Srikanth Sastry , Claus Heussinger

Theoretical models of protoplanetary disks including stellar irradiation often show a spontaneous amplification of scale height perturbations, produced by the enhanced absorption of starlight in enlarged regions. In turn, such regions cast…

Earth and Planetary Astrophysics · Physics 2022-09-21 Julio David Melon Fuksman , Hubert Klahr

The structure of steady plane-parallel radiative shock waves propagating through the hydrogen gas undergoing partial ionization and excitation of bound atomic states is investigated in terms of the self-consistent solution of the equations…

Astrophysics · Physics 2007-05-23 Yu. A. Fadeyev , D. Gillet

The general problem of shock formation in three space dimensions was solved by D. Christodoulou in his 2007 monograph: 'The Formation of Shocks in 3-dimensional Fluids'. In this work also a complete description of the maximal development of…

Analysis of PDEs · Mathematics 2015-06-30 Demetrios Christodoulou , André Lisibach

A collisionless shock wave is treated as a streaming plasma instability in the interstellar medium (ISM). We assume that in a steady state, this instability propagates through the ISM as a self-driven plasma instability, whereby the…

High Energy Astrophysical Phenomena · Physics 2018-10-30 Vladimir Zekovic , Bojan Arbutina

The blast caused by an intense explosion has been extensively studied in conservative fluids, where the Taylor-von Neumann-Sedov hydrodynamic solution is a prototypical example of self-similarity driven by conservation laws. In dissipative…

Statistical Mechanics · Physics 2016-03-24 Matthieu Barbier , Dario Villamaina , Emmanuel Trizac

We derive a system of moment-based dynamical equations that describe the 1+1d space-time evolution of a cylindrically symmetric massive gas undergoing boost-invariant longitudinal expansion. Extending previous work, we introduce an explicit…

High Energy Physics - Phenomenology · Physics 2014-07-30 Mohammad Nopoush , Radoslaw Ryblewski , Michael Strickland

Several observations of transition discs show lopsided dust-distributions. A potential explanation is the formation of a large-scale vortex acting as a dust-trap at the edge of a gap opened by a giant planet. Numerical models of gap-edge…

Earth and Planetary Astrophysics · Physics 2015-06-23 Robert Les , Min-Kai Lin

C-type shocks are believed to be ubiquitous in turbulent molecular clouds thanks to ambipolar diffusion. We investigate whether the drag instability in 1D isothermal C-shocks, inferred from the local linear theory of Gu & Chen, can appear…

Astrophysics of Galaxies · Physics 2022-08-23 Pin-Gao Gu , Che-Yu Chen , Emma Shen , Chien-Chang Yen , Min-Kai Lin

We extend an isothermal thermal model of ultracold neutral plasma expansion to systems without spherical symmetry, and use this model to interpret new fluorescence measurements on these plasmas. By assuming a self-similar expansion, it is…

Atomic Physics · Physics 2009-11-11 E. A. Cummings , J. E. Daily , D. S. Durfee , S. D. Bergeson

We present the first dynamically and thermally self-consistent calculations of fast adiabatically expanding gas flows from the Galactic disk into the halo. It is shown that in a hot plasma (T >= 10^6 K) with a high overpressure with respect…

Astrophysics · Physics 2007-05-23 Dieter Breitschwerdt , Thomas Schmutzler