Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Remarks on high Reynolds numbers hydrodynamics and the inviscid limit   We prove that any weak space-time $L^2$ vanishing viscosity limit of a
sequence of strong solutions of Navier-Stokes equations in a bounded domain of
${\mathbb{R}}^2$ satisfies the Euler equation if the solutions' local
enstrophies are uniformly bounded. We also prove that $t-a.e.$ weak $L^2$
inviscid limits of solutions of 3D Navier-Stokes equations in bounded domains
are weak solutions of the Euler equation if they locally satisfy a scaling
property of their second order structure function. The conditions imposed are
far away from boundaries, and wild solutions of Euler equations are not a
priori excluded in the limit.

14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol