Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Homogenization of some degenerate pseudoparabolic variational
  inequalities   Multiscale analysis of a degenerate pseudoparabolic variational inequality,
modelling the two-phase flow with dynamical capillary pressure in a perforated
domain, is the main topic of this work. Regularisation and penalty operator
methods are applied to show the existence of a solution of the nonlinear
degenerate pseudoparabolic variational inequality defined in a domain with
microscopic perforations, as well as to derive a priori estimates for solutions
of the microscopic problem. The main challenge is the derivation of a priori
estimates for solutions of the variational inequality, uniformly with respect
to the regularisation parameter and to the small parameter defining the scale
of the microstructure. The method of two-scale convergence is used to derive
the corresponding macroscopic obstacle problem.

29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org