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In this work we develop a class of high-order finite difference weighted essentially non-oscillatory (FD-WENO) schemes for solving the ideal magnetohydrodynamic (MHD) equations in 2D and 3D. The philosophy of this work is to use efficient…

Numerical Analysis · Mathematics 2015-06-17 Andrew J. Christlieb , James A. Rossmanith , Qi Tang

We present solutions for the velocity field and mass-loss rates for 2D axisymmetric outflows, as well as for the case of mass accretion through the use of the Lambert W-function. For the case of a rotating radiation-driven wind the velocity…

Solar and Stellar Astrophysics · Physics 2014-03-20 Patrick E. Müller , Jorick S. Vink

Many interesting terrestrial and astrophysical scenarios involving magnetic fields can be approached in axial geometry. Even though the Lagrangian smoothed particle hydrodynamics (SPH) technique has been successfully extended to handle…

Instrumentation and Methods for Astrophysics · Physics 2022-07-05 Domingo García-Senz , Robert Wissing , Rubén M. Cabezón

The appearance of eruptive space plasma processes, e.g., in eruptive flares as observed in the solar atmosphere, is usually assumed to be caused by magnetic reconnection. The process of magnetic reconnection is often connected with singular…

Solar and Stellar Astrophysics · Physics 2009-09-07 Dieter Nickeler , Marian Karlicky , Miroslav Barta

We explore the poloidal structure of two-dimensional (2D) MHD winds in relation to their potential association with the X-ray warm absorbers (WAs) and the highly-ionized ultra-fast outflows (UFOs) in AGN, in a single unifying approach. We…

High Energy Astrophysical Phenomena · Physics 2015-06-17 Keigo Fukumura , Francesco Tombesi , Demosthenes Kazanas , Chris Shrader , Ehud Behar , Ioannis Contopoulos

We present an analytical model for the magnetic flux surfaces for rapidly rotating magnetized young stellar objects which is based on ideal, stationary, axisymmetric magnetohydrodynamics. The resulting cold wind solutions reproduce observed…

Astrophysics · Physics 2007-05-23 E. Breitmoser , M. Camenzind

We present the first three-dimensional magnetohydrodynamic (MHD) simulations of the atmosphere of HD 209458b which self-consistently include reduction of winds due to the Lorentz force and Ohmic heating. We find overall wind structures…

Earth and Planetary Astrophysics · Physics 2015-06-18 T. M. Rogers , A. P. Showman

Starting from a travelling wave ansatz we show successively that the shape of a nonlinear excitation generally depends also on the 1st, 2nd, ... time derivative of the position X of the excitation. From the Hamilton equations we derive a…

Condensed Matter · Physics 2007-05-23 F. G. Mertens , H. -J. Schnitzer , A. R. Bishop

A finite element method for the numerical solution of the anisotropic Navier-Stokes equations in shallow domain is presented. This method take into account aspect ratio in the hydrostatic approximation of the Navier-Stokes equations…

Numerical Analysis · Mathematics 2012-07-03 Olivier Besson , Julien Straubhaar

Solutions to the compressible Euler equations in all dimensions have been shown to develop finite-time singularities from smooth initial data such as shocks and cusps. There is an extraordinary list of results on this subject. When the…

Analysis of PDEs · Mathematics 2025-07-10 Jiahong Wu , Fuyi Xu , Xiaoping Zhai

A main result of this paper establishes the global stability of the 3D MHD equations with mixed partial dissipation near a background magnetic field in the domain $\Omega=\mathbb{T}^2\times\mathbb{R}$ with $\mathbb{T}^2=[0, 1]^2$. More…

Analysis of PDEs · Mathematics 2024-02-05 Xuemin Deng , Yuelong Xiao , Aibin Zang

The classical Blandford & Payne (1982) model for the magnetocentrifugal acceleration and collimation of a disk-wind is revisited and refined. In the original model, the gas is cold and the solution is everywhere subfast magnetosonic. In the…

Astrophysics · Physics 2015-06-24 N. Vlahakis , K. Tsinganos , C. Sauty , E. Trussoni

We study an initial boundary value problem for the 3D magnetohydrodynamics (MHD) equations of compressible fluids in $\R^3$. We establish a blow-up criterion for the local strong solutions in terms of the density and magnetic field. Namely,…

Analysis of PDEs · Mathematics 2012-07-11 Anthony Suen

This paper is concerned with the asymptotic behaviors of global strong solutions to the incompressible non-resistive viscous magnetohydrodynamic (MHD) equations with large initial perturbations in two-dimensional periodic domains in…

Analysis of PDEs · Mathematics 2021-02-16 Fei Jiang , Song Jiang

We discuss recent progress in understanding the launching of outflows/jets from the disc-magnetosphere boundary of slowly and rapidly rotating magnetized stars. In most of the discussed models the interior of the disc is assumed to have a…

Solar and Stellar Astrophysics · Physics 2013-06-06 R. V. E. Lovelace , M. M. Romanova , P. Lii

A review of some of the issues that have arisen over the years concerning the energy distribution among scales for magnetohydrodynamics (MHD) turbulence is given here. A variety of tools are employed to that effect, and a central role is…

Plasma Physics · Physics 2012-11-06 Annick Pouquet

Extended magnetohydrodynamics (XMHD) is a fluid plasma model generalizing ideal MHD by taking into account the impact of Hall drift effects and the influence of electron inertial effects. XMHD has a Hamiltonian structure which has received…

Analysis of PDEs · Mathematics 2024-06-26 Christophe Cheverry , Nicolas Besse

The driving mechanism of massive outflows observed in high-mass star-forming regions is investigated using three-dimensional magnetohydrodynamics (MHD) and protostellar evolution calculations. In our previous paper, we showed that the mass…

Solar and Stellar Astrophysics · Physics 2018-01-31 Yuko Matsushita , Yuya Sakurai , Takashi Hosokawa , Masahiro N. Machida

Jets and outflows are commonly observed in young stellar objects (YSOs), yet their origins remain debated. Using 3D non-ideal magnetohydrodynamic (MHD) simulations of a circumstellar disk threaded by a large-scale open poloidal magnetic…

Solar and Stellar Astrophysics · Physics 2025-07-03 Yisheng Tu , Zhi-Yun Li , Zhaohuan Zhu , Chun-Yen Hsu , Xiao Hu

We derive hydrodynamic equations from Vicsek-style dry active matter models in three dimensions (3D), building on our experience on the 2D case using the Boltzmann-Ginzburg-Landau approach. The hydrodynamic equations are obtained from a…

Soft Condensed Matter · Physics 2020-03-17 Benoît Mahault , Aurelio Patelli , Hugues Chaté
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