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Introduction to MHD Instabilities
Fusion Science and Technology, 1998In 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
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Weak Solutions of Ideal MHD Which Do Not Conserve Magnetic Helicity
Annals of PDE, 2019We 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
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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
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Entropy Stable Finite Volume Scheme for Ideal Compressible MHD on 2-D Cartesian Meshes
SIAM Journal on Numerical Analysis, 2016We 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
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‘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.
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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
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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
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Instability of MHD Motion and Astrophysical MHD Turbulence
2012Let 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
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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.
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Toroidal Theory of MHD Instabilities
Fusion Technology, 1998We 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
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MHD and Micro-MHD Effects in Electrochemical Systems
1999Using a new type of electrode, MHDE, copper electrodeposition from acidic copper sulfate solution was examined.
Ryoichi Aogaki+2 more
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