Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Boundary layers and the vanishing viscosity limit for incompressible 2D
  flow   This manuscript is a survey on results related to boundary layers and the
vanishing viscosity limit for incompressible flow. It is the lecture notes for
a 10 hour minicourse given at the Morningside Center, Academia Sinica, Beijing,
PRC from 11/28 to 12/07, 2007. The main topics covered are: a derivation of
Prandtl's boundary layer equation; an outline of the rigorous theory of
Prandtl's equation, without proofs; Kato's criterion for the vanishing
viscosity limit; the vanishing viscosity limit with Navier friction condition;
rigorous boundary layer theory for the Navier friction condition and boundary
layers for flows in a rotating cylinder.

29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc