Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two-phase flows involving capillary barriers in heterogeneous porous
  media   We consider a simplified model of a two-phase flow through a heterogeneous
porous medium, in which the convection is neglected. This leads to a nonlinear
degenerate parabolic problem in a domain shared in an arbitrary finite number
of homogeneous porous media. We introduce a new way to connect capillary
pressures on the interfaces between the homogeneous domains, which leads to a
general notion of solution. We then compare this notion of solution with an
existing one, showing that it allows to deal with a larger class of problems.
We prove the existence of such a solution in a general case, then we prove the
existence and the uniqueness of a regular solution in the one-dimensional case
for regular enough initial data.

12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn