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We investigate a hydrodynamic equation system which - with some approximation - is capable to describe the tsunami propagation in the open ocean with the time-dependent self-similar Ansatz. We found analytic solutions how the wave height…

Exactly Solvable and Integrable Systems · Physics 2022-07-05 I. F. Barna , M. A. Pocsai , L. Mátyás

We obtain the viscous and diffusive fundamental solution for monochromatic internal waves in a uniformly stratified medium and for anisotropic Brinkman flow. These solutions take the form of single integrals with logarithmic singularities,…

Fluid Dynamics · Physics 2026-05-18 Saikumar Bheemarasetty , Stefan G. Llewellyn Smith

We present general and global analytical solutions, valid from pole to equator, for the asymptotic structure of non-relativistic, rotating, stationary, axisymmetric, polytropic, unconfined, perfect MHD winds. The asymptotic structure of…

Astrophysics · Physics 2009-11-10 J. Heyvaerts , C. Norman

Motivated by the important role of the ocean in the Earth climate system, here we investigate possible scenarios of ocean circulations on exoplanets using a one-layer shallow water ocean model. Specifically, we investigate how planetary…

Earth and Planetary Astrophysics · Physics 2018-09-06 Weiwen Ji , Ru Chen , Jun Yang

We perform numerical simulations to investigate the stellar wind from interacting binary stars. Our aim is to find analytical formulae describing the outflow structure. In each binary system the more massive star is in the asymptotic giant…

Solar and Stellar Astrophysics · Physics 2020-02-19 Luis C. Bermúdez-Bustamante , G. García-Segura , W. Steffen , L. Sabin

Pulsar winds are the ideal environment for the study of non-linear electromagnetic waves. It is generally thought that a pulsar launches a striped wind, a magnetohydrodynamic entropy wave, where plasma sheets carried along with the flow…

High Energy Astrophysical Phenomena · Physics 2015-06-04 Ioanna Arka , John G. Kirk

The propagation speed of a circumstellar pattern revealed in the plane of the sky is often assumed to represent the expansion speed of the wind matter ejected from a post-main-sequence star at the center. We point out that the often-adopted…

Solar and Stellar Astrophysics · Physics 2023-08-31 Hyosun Kim

Spiral wave solutions are found in linear and weakly nonlinear irrotational water wave equations. These unsteady spiral waves evolve from suitable initial conditions; they are not induced by external forcing. In the linear case, a long-time…

Fluid Dynamics · Physics 2025-10-27 Mark J. Ablowitz , Justin T. Cole , Sean D. Nixon

We present a numerical study of the properties of the flow produced by the collision of a magnetized anisotropic pulsar wind with the circumbinary environment. We focus on studying the impact of the high wind magnetization on the…

High Energy Astrophysical Phenomena · Physics 2019-11-19 Sergey V. Bogovalov , Dmitry Khangulyan , Alexander V. Koldoba , Galina V. Ustyugova , Felix Aharonian

Kinematic signatures of the jet, winds, multicavities, and episodic shells arising in the unified model of bipolar outflows developed in Shang et al.\ (2020), in which an outflow forms by radially directed, wide-angle toroidally magnetized…

Solar and Stellar Astrophysics · Physics 2023-03-02 Hsien Shang , Chun-Fan Liu , Ruben Krasnopolsky , Liang-Yao Wang

We consider the planar Taylor-Couette system for the steady motion of a viscous incompressible fluid in the region between two concentric disks, the inner one being at rest and the outer one rotating with constant angular speed. We study…

Analysis of PDEs · Mathematics 2024-06-24 Filippo Gazzola , Jiří Neustupa , Gianmarco Sperone

We introduce a new Rigid-Field Hydrodynamics approach to modeling the magnetospheres of massive stars in the limit of very-strong magnetic fields. Treating the field lines as effectively rigid, we develop hydrodynamical equations describing…

Astrophysics · Physics 2009-11-13 R. H. D. Townsend , S. P. Owocki , A. ud-Doula

We use a Cartesian grid to simulate the flow of gas in a barred Galactic potential and investigate the effects of varying the sound speed in the gas and the resolution of the grid. For all sound speeds and resolutions, streamlines closely…

Astrophysics of Galaxies · Physics 2015-06-23 Mattia C. Sormani , James Binney , John Magorrian

We present an efficient technique to study the 1D evolution of instability-generated structure in winds of hot stars out to very large distances (more than 1000 stellar radii). This technique makes use of our previous finding that external…

Astrophysics · Physics 2009-11-10 M. C. Runacres , S. P. Owocki

We present two dimensional cylindrically symmetric hydrodynamic simulations and synthetic emission maps of a stellar wind propagating into an infalling, rotating environment. The resulting outflow morphology, collimation and stability…

We analyze the steady 1D flow equations for a rotating stellar wind based on a ``nozzle'' analogy for terms that constrain the local mass flux. For low rotation, we find the nozzle minimum occurs near the stellar surface, allowing a…

Astrophysics · Physics 2011-02-11 Thomas I. Madura , Stanley P. Owocki , Achim Feldmeier

Bipolar molecular outflows have been observed and studied extensively in the past, but some recent observations of periodic variations in maser intensity pose new challenges. Even quasi-periodic maser flares have been observed and reported…

Astrophysics of Galaxies · Physics 2015-06-04 Nishant K. Singh , Avinash A. Deshpande

Shock wave solutions in anisotropic relativistic hydrodynamics are considered. A new phenomenon of anisotropy-related angular deflection of the incident flow by the shock wave front is described. Patterns of velocity and momentum…

Nuclear Theory · Physics 2022-05-18 Aleksandr Kovalenko , Andrey Leonidov

When a Bose-Einstein condensed cloud of atoms is given some angular momentum, it forms vortices arranged in structures with a discrete rotational symmetry. For these vortex states, the Hilbert space of the exact solution separates into a…

In this study, we develop a simplified magnetofluid model in the framework of GRMHD. We consider an ideal, adiabatic fluid composed of two components, ions and electrons, having a constant ratio between their temperatures. The flows are…

General Relativity and Quantum Cosmology · Physics 2024-01-26 Yehui Hou , Zhenyu Zhang , Minyong Guo , Bin Chen