Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Necessary conditions for distributed optimal control of linearized
  compressible Navier-Stokes equations with state constraint   A Pontryagin maximum principle for an optimal control problem in three
dimensional linearized compressible viscous flows is established using the
Ekeland variational principle. The controls are distributed over a bounded
domain, while the state variables are subject to a set of constraints and
governed by the linearized compressible Navier-Stokes equations. The maximum
principle is of integral-type and obtained for minimizers of a tracking-type
integral cost functional.

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The categories of this paper are: quant-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys
1
The categories of this paper are: cs
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th