Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Emergence of Unstable Modes for Shock Waves in Ideal MHD   This note studies classical magnetohydrodynamic shock waves in an inviscid
fluidic plasma that is assumed to be a perfect conductor of heat as well as of
electricity. For this mathematically prototypical material, it identifies a
critical manifold in parameter space, across which slow classical MHD shock
waves undergo emergence of a complex conjugate pair of unstable transverse
modes. In the reflectionally symmetric case of parallel shocks, this emergence
happens at the spectral value 0, and the critical manifold possesses a simple
explicit algebraic representation. Results of refined numerical treatment show
that for only almost parallel shocks the unstable mode pair emerges from a pair
of non-zero imaginary spectral values.

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The categories of this paper are: adap-org
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The categories of this paper are: physics
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The categories of this paper are: q-fin
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
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The categories of this paper are: eess