Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Contrast between Lagrangian and Eulerian analytic regularity properties
  of Euler equations   We consider the incompressible Euler equations on ${\mathbb R}^d$, where $d
\in \{ 2,3 \}$. We prove that:
  (a) In Lagrangian coordinates the equations are locally well-posed in spaces
with fixed real-analyticity radius (more generally, a fixed Gevrey-class
radius).
  (b) In Lagrangian coordinates the equations are well-posed in highly
anisotropic spaces, e.g.~Gevrey-class regularity in the label $a_1$ and Sobolev
regularity in the labels $a_2,...,a_d$.
  (c) In Eulerian coordinates both results (a) and (b) above are false.

10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom