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We consider plasma tearing mode instabilities when the resistivity depends on a
flux function (), for the plane slab model.
This problem, represented by the MHD equations, is studied as a bifurcation
problem. For
so doing, it is written in the form , where
is a compact operator in a suitable space and is the bifurcation
parameter.
In this work, the resistivity is not assumed to be a given quantity (as usually
done in previous papers, see [1,2,5,7,8,9,10], but it
depends non
linearly of the...
We study a class of hyperbolic partial differential equations on a
one dimensional spatial domain with control and observation at the
boundary. Using the idea of feedback we show these systems are
well-posed in the sense of Weiss and Salamon if and only if the
state operator generates a
-semigroup. Furthermore, we show
that the corresponding transfer function is regular, , has a
limit for going to infinity.
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