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We present a stability theory for kink propagation in chains of coupled oscillators and a new algorithm for the numerical study of kink dynamics. The numerical solutions are computed using an equivalent integral equation instead of a system…

Pattern Formation and Solitons · Physics 2009-11-10 A. carpio

I present the publicly available code GLADIS (GLobal Accretion Disk Instability Simulation) developed in my reserach group over the years 2002-2017. It can be freely downloaded and modified by the users via the link from the Astrophysics…

High Energy Astrophysical Phenomena · Physics 2019-11-14 Agnieszka Janiuk

We study the dynamics of galactic disk formation and evolution in 'realistic' LambdaCDM haloes with idealized baryonic initial conditions. We add rotating spheres of hot gas at z=1.3 to two fully cosmological dark-matter-only halo…

Astrophysics of Galaxies · Physics 2015-06-04 Michael Aumer , Simon D. M. White

Certain numerical methods for initial value problems have as stability function the nth partial sum of the exponential function. We study the stability region, i.e., the set in the complex plane over which the nth partial sum has at most…

Numerical Analysis · Mathematics 2013-12-03 David Ketcheson , Tihamér A. Kocsis , Lajos Lóczi

We perform three-dimensional shearing-box hydrodynamical simulations to explore the outcome of gravitational instability in the outer regions of neutrino-cooled disks such as those formed from the collapse of rotating massive stars…

High Energy Astrophysical Phenomena · Physics 2025-08-26 Yi-Xian Chen , Brian D. Metzger

We present a detailed numerical study of solutions to the Zakharov-Kuznetsov equation in three spatial dimensions. The equation is a three-dimensional generalization of the Korteweg-de Vries equation, though, not completely integrable. This…

Analysis of PDEs · Mathematics 2021-05-05 C. Klein , S. Roudenko , N. Stoilov

Since its publication 1983, Milgromian dynamics (aka MOND) has been very successful in modeling the gravitational potential of galaxies from baryonic matter alone. However, the dynamical modeling has long been an unsolved issue. In…

Astrophysics of Galaxies · Physics 2016-06-21 Ingo Thies , Pavel Kroupa , Benoit Famaey

We consider the problem of dynamical stability for the $n$-vortex of the Ginzburg-Landau model. Vortices are one of the main examples of topological solitons, and their dynamic stability is the basic assumption of the asymptotic ``particle…

Analysis of PDEs · Mathematics 2024-09-09 José M. Palacios , Fabio Pusateri

Using three-dimensional stellar kinematic data from simulated galaxies, we examine the efficacy of a Jeans equation analysis in reconstructing the total disk surface density, including the dark matter, at the "Solar" radius. Our simulation…

Astrophysics of Galaxies · Physics 2016-01-18 G. N. Candlish , R. Smith , C. Moni Bidin , B. K. Gibson

Aims. Neutron stars (NSs) produced in the Milky Way are supposedly ten to the eighth - ten to the ninth, of which only $\sim 2 \times 10^{3}$ are observed. Constraining the phase space distribution of NSs may help to characterize the yet…

Astrophysics of Galaxies · Physics 2015-05-14 N. Sartore , E. Ripamonti , A. Treves , R. Turolla

Using hydrodynamic approach, it is shown that the properties of a marginally stable collisionless stellar disc resemble those of a thermodynamic system undergoing a gas--liquid phase transition. The maximum in Toomre's stability diagram,…

Astrophysics of Galaxies · Physics 2010-01-04 E. I. Ivannikova , M. N. Maksumov

We use observed rotation velocity-luminosity (VL) and size-luminosity (RL) relations to single out a specific scenario for disk galaxy formation in the LCDM cosmology. Our model involves four independent log-normal random variables:…

Astrophysics · Physics 2008-11-26 Aaron A. Dutton , Frank C. van den Bosch , Avishai Dekel , Stephane Courteau

We introduce a new method to investigate linear stability of gaseous detonations that is based on an accurate shock-fitting numerical integration of the linearized reactive Euler equations with a subsequent analysis of the computed solution…

Fluid Dynamics · Physics 2018-04-18 Dmitry I. Kabanov , Aslan R. Kasimov

N-body simulations of galactic collisions are employed to investigate the formation of elliptical rings in disk galaxies. The relative inclination between disk and dwarf galaxies is studied with a fine step of five degrees. It is confirmed…

Astrophysics of Galaxies · Physics 2015-05-27 Yu-Ting Wu , Ing-Guey Jiang

The near proportionality between HI and dark matter in outer galactic disks prompted us to run N-body simulations of galactic disks in which the observed gas content is supplemented by a dark gas component representing between zero and five…

Astrophysics of Galaxies · Physics 2009-04-30 Y. Revaz , D. Pfenniger , F. Combes , F. Bournaud

We employ an improved methodology to insert live stellar disks into high-resolution dark matter simulations of Milky Way sized halos, allowing us to investigate the fate of thin stellar disks in the tumultuous environment of cold dark…

Astrophysics of Galaxies · Physics 2015-07-15 Denis Yurin , Volker Springel

Disk-halo decompositions of galaxy rotation curves are generally performed in a parametric way. We construct self-consistent models of nonspherical isothermal halos embedding a zero-thickness disk, by assuming that the halo distribution…

Cosmology and Nongalactic Astrophysics · Physics 2010-09-10 N. C. Amorisco , G. Bertin

We present a method for linear stability analysis of systems with parametric uncertainty formulated in the stochastic Galerkin framework. Specifically, we assume that for a model partial differential equation, the parameter is given in the…

Numerical Analysis · Mathematics 2026-01-14 Bedřich Sousedík , Kookjin Lee

We discuss the stability of galactic disks in which the energy of interstellar clouds is gained in encounters with expanding supernova remnants and lost in inelastic collisions. Energy gain and loss processes introduce a phase difference…

Astrophysics · Physics 2009-11-10 Adi Nusser

We explore the linear stability of astrophysical discs exhibiting vertical shear, which arises when there is a radial variation in the temperature or entropy. Such discs are subject to a "vertical-shear instability", which recent nonlinear…

Solar and Stellar Astrophysics · Physics 2015-06-24 Adrian J. Barker , Henrik N. Latter
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