Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Boundary Layer Expansions for the Stationary Navier-Stokes Equations   This is the first part of a two paper sequence in which we prove the
global-in-x stability of the classical Prandtl boundary layer for the 2D,
stationary Navier-Stokes equations. In this part, we provide a construction of
an approximate Navier-Stokes solution, obtained by a classical Euler- Prandtl
asymptotic expansion. We develop here sharp decay estimates on these
quantities. Of independent interest, we establish \textit{without} using the
classical von-Mise change of coordinates, proofs of global in x regularity of
the Prandtl system. The results of this paper are used in the second part of
this sequence, [IM20] (arXiv:2008.12347), to prove the asymptotic stability of
the boundary layer as $\eps \rightarrow 0$ and $x \rightarrow \infty$.

20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an