Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Un Mod\`ele simple d'injection diphasique avec phase condensable   L'objectif de cette note est de proposer un mod\`ele math\'ematique simple
permettant de comprendre l'arr\^et de la p\'en\'etration d'un flux de vapeur
d'eau condensable sur un mur de b\'eton, observ\'e exp\'erimentalement (voir
par exemple les diff\'erentes exp\'eriences d'injection de vapeur dans du
b\'eton pr\'esent\'ees dans [11], et [7]). Un mod\`ele homog\'en\'eis\'e simple
d'injection dans un milieu poreux est propos\'e, donnant une borne pour la
position asymptotique en temps du front de p\'en\'etration. The aim of this
paper is to propose a simple mathematical model to understand the decision of
the penetration of a stream of water vapor condensing on a concrete wall,
observed experimentally (see for example the situations described in [11], and
[7]). A simple homogenized model for the injection in a porous medium is
proposed, giving a bound for the asymptotic-time position at the front of
penetration.

10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con