Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global classical solution of the Cauchy problem to 1D compressible
  Navier-Stokes equations with large initial data   In this paper, we prove that the 1D Cauchy problem of the compressible
Navier-Stokes equations admits a unique global classical solution $(\rho,\rm
u)$ if the viscosity $\mu(\rho)=1+\rho^{\beta}$ with $\beta\geq0$. The initial
data can be arbitrarily large and may contain vacuum.
  Some new weighted estimates of the density and velocity are obtained when
deriving higher order estimates of the solution.

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The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
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The categories of this paper are: nlin
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The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
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The categories of this paper are: cond-mat
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The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
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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: q-bio
33
The categories of this paper are: plasm-ph