Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability of viscous shock profiles for dissipative symmetric
  hyperbolic-parabolic systems   Combining pointwise Green's function bounds obtained in a companion paper
[MZ.2] with earlier, spectral stability results obtained in [HuZ], we establish
nonlinear orbital stability of small amplitude viscous shock profiles for the
class of dissipative symmetric hyperbolic-parabolic systems identified by
Kawashima [Kaw], notably including compressible Navier--Stokes equations and
the equations of magnetohydrodynamics, obtaining sharp rates of decay in $L^p$
with respect to small $L^1\cap H^3$ perturbations, $2\le p\le \infty$. Our
analysis follows the approach introduced in [MZ.1] to treat stability of
relaxation profiles.

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The categories of this paper are: q-bio
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The categories of this paper are: nlin
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The categories of this paper are: astro-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
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The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat
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The categories of this paper are: cond-mat
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The categories of this paper are: stat
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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin