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Introduction to MHD Instabilities

Fusion Science and Technology, 1998
In this paper we will discuss the theoretical framework of ideal MHD stability. We first show that the Alfven wave is of central importance for the understanding of macroscopic plasma dynamics and, hence, of MHD stability. Then we introduce the elements of spectral theory needed for our study, and next we apply these methods to inhomogeneous plasmas in
J. P. Goedbloed, J. P. Goedbloed
openaire   +3 more sources

Weak Solutions of Ideal MHD Which Do Not Conserve Magnetic Helicity

Annals of PDE, 2019
We construct weak solutions to the ideal magneto-hydrodynamic (MHD) equations which have finite total energy, and whose magnetic helicity is not a constant function of time.
Rajendra Beekie, T. Buckmaster, V. Vicol
semanticscholar   +1 more source

Theory of MHD waves [PDF]

open access: possiblePlasma Physics and Controlled Fusion, 1986
Reviews recent developments in the theory of MHD waves in connection with radio-frequency heating in the Alfven wave and ion cyclotron ranges of frequencies (AWRF, ICRF). The account focuses on the discussion of full wave solutions and the oscillation spectra in bounded, generally inhomogeneous, plasmas. Original results are presented concerning forced
Appert, K   +4 more
openaire   +3 more sources

Entropy Stable Finite Volume Scheme for Ideal Compressible MHD on 2-D Cartesian Meshes

SIAM Journal on Numerical Analysis, 2016
We present a finite volume scheme for ideal compressible magnetohydrodynamic (MHD) equations on two-dimensional Cartesian meshes. The semidiscrete scheme is constructed to be entropy stable by using the symmetrized version of the equations as introduced ...
P. Chandrashekar, C. Klingenberg
semanticscholar   +1 more source

‘Derivation’ of the MHD Equations

Fusion Technology, 1998
(1998). ‘Derivation’ of the MHD Equations. Fusion Technology: Vol. 33, Proceedings of the Third Carolus Magnus Summer School on Plasma Physics. Spa, Belgium, September 8-9, 1997, pp. 97-104.
openaire   +3 more sources

MHD power generation

The Physics Teacher, 1974
A brief review is given of the status of the MHD generator. Topics discussed include basic principles of operation, efficiency, applications, and pollution considerations. (AIP)
Arthur Kantrowitz, Richard J Rosa
openaire   +3 more sources

Instability of MHD Motion and Astrophysical MHD Turbulence

2012
Let us define the stable states as such medium motion or rest states, in which small random perturbations of macroscopic parameters do not increase, while they can oscillate with some damping rate and so eventually dissipate. In astrophysics, however, there are numerous examples of the states, which are not stable.
Gregory D. Fleishman, Igor N. Toptygin
openaire   +2 more sources

Introduction to MHD [PDF]

open access: possible, 2000
A plasma is a conducting fluid, gas or liquid. The plasma state is found in nature under a wide variety of different physical conditions, very dense or very tenuous, very hot or cold. Ionization, total or partial, allows for electric current conduction.
openaire   +1 more source

Toroidal Theory of MHD Instabilities

Fusion Technology, 1998
We continue with the adventures of the Alfven wave and its two magnetosonic companions as they travel in the curved space of magnetic surfaces and field lines (Sec. 2), find themselves trapped in singularities of an unprecedented richness (Sec. 3), decide to get themselves better maps of the landscape to do the required twisting while some of their ...
J. P. Goedbloed, J. P. Goedbloed
openaire   +3 more sources

MHD and Micro-MHD Effects in Electrochemical Systems

1999
Using a new type of electrode, MHDE, copper electrodeposition from acidic copper sulfate solution was examined.
Ryoichi Aogaki   +2 more
openaire   +2 more sources

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