Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Well-posedness of the linearized Prandtl equation around a non-monotonic
  shear flow   In this paper, we prove the well-posedness of the linearized Prandtl equation
around a non-monotonic shear flow in Gevrey class $2-\theta$ for any
$\theta>0$. This result is almost optimal by the ill-posedness result proved by
G\'{e}rard-Varet and Dormy, who construct a class of solution with the growth
like $e^{\sqrt{k}t}$ for the linearized Prandtl equation around a non-monotonic
shear flow.

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The categories of this paper are: quant-ph
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
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The categories of this paper are: stat
10
The categories of this paper are: q-bio
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The categories of this paper are: solv-int
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The categories of this paper are: econ
7
The categories of this paper are: hep-th
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The categories of this paper are: ao-sci
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat