Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Freezing similarity solutions in multi-dimensional Burgers' Equation   The topic of this paper are similarity solutions occurring in
multi-dimensional Burgers' equation. We present a simple derivation of the
symmetries appearing in a family of generalizations of Burgers' equation in
$d$-space dimensions. These symmetries we use to derive an equivalent partial
differential algebraic equation (freezing system) that allows us to do long
time simulations and obtain good approximations of similarity solutions by
direct forward simulation. The method also allows us without further effort to
observe meta-stable behavior near N-wave-like patterns.

36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom