Propagation of nonclassical shock waves in Hall-magnetohydrodynamics model of non-ideal fluids

N Yadav, TP Shukla - Physics of Fluids, 2024 - pubs.aip.org
We investigate the behavior of nonlinear waves in the Hall-magnetohydrodynamics model of
non-ideal fluids with the van der Waals equation of state. It is shown that the Hall effect leads …

On the magnetohydrodynamic limits of the ideal two-fluid plasma equations

N Shen, Y Li, DI Pullin, R Samtaney, V Wheatley - Physics of Plasmas, 2018 - pubs.aip.org
The two-fluid plasma equations describing a magnetized plasma, originating from truncating
moments of the Vlasov-Boltzmann equation, are increasingly used to describe an ion …

Propagation of linear and weakly nonlinear waves in Hall-magnetohydrodynamic flows

TP Shukla, VD Sharma - International Journal of Non-Linear Mechanics, 2024 - Elsevier
We study in this paper linear and weakly nonlinear waves within the framework of a Hall-
magnetohydrodynamic model. An optimal ordering, which allows the Hall effect to be seen …

[HTML][HTML] Ellipticity conditions for the extended MHD Grad-Shafranov-Bernoulli equilibrium equations

DA Kaltsas, GN Throumoulopoulos, PJ Morrison - Physics of Plasmas, 2019 - pubs.aip.org
In this study, we find the points of transition between elliptic and hyperbolic regimes for the
axisymmetric extended magnetohydrodynamic (MHD) equilibrium equations. The ellipticity …

Boundary Problem for Plane Nonlinear Solitary Waves in Plasma in the Hall Magnetohydrodynamics Approximation

MB Gavrikov, AA Tayurskiy - Plasma Physics Reports, 2022 - Springer
Equations are given for plane nonlinear traveling waves in a conducting medium with a
current, including plasma, within the framework of Hall magnetohydrodynamics. These …

Undercompressive shock waves in Hall‐magnetohydrodynamics

TP Shukla, VD Sharma - Mathematical Methods in the Applied …, 2018 - Wiley Online Library
We study the propagation of nonlinear waves in a Hall‐magnetohydrodynamic model. An
asymptotic method is used to derive the Gardner‐Burgers equation for fast magnetosonic …

Investigations of the Richtmyer-Meshkov Instability with Ideal Magnetohydrodynamics and Ideal Two-Fluid Plasma Models

Y Li - 2021 - repository.kaust.edu.sa
Abstract The Richtmyer-Meshkov instability (RMI) in the convergent geometry is numerically
studied in the framework of ideal magnetohydrodynamics (MHD) and two-fluid plasma in this …

Hall-magnetohydrodynamic waves in flowing ideal incompressible solar-wind plasmas: reconsidered

I Zhelyazkov, Z Dimitrov, M Bogdanova - Astrophysics and Space Science, 2020 - Springer
It is well established that the magnetically structured solar atmosphere supports the
propagation of MHD waves along various kind of jets including also the solar wind. It is well …

[图书][B] Part I: The Equations of Plasma Physics and the Richtmyer-Meshkov Instability in Magnetohydrodynamics Part II: Evolution of Perturbed Planar Shockwaves

N Shen - 2021 - search.proquest.com
Abstract Part I: Mitigating the Richtmyer-Meshkov instability (RMI) is critical for energy
production in inertial confinement fusion. Suitable plasma models are required to study the …

Ισορροπία και ευστάθεια μαγνητικά περιορισμένου πλάσματος στα πλαίσια γενικευμένων μαγνητοϋδροδυναμικών μοντέλων, μέσω χαμιλτονιανών παραλλακτικών αρχών

Δ Καλτσάς - 2019 - didaktorika.gr
Στην παρούσα διατριβή παράγονται εξισώσεις ισορροπίας και ικανές συνθήκες ευστάθειας
στάσιμωνκαταστάσεων μαγνητικά περιορισμένου πλάσματος, μέσω Χαμιλτονιανών μεθόδων …