Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Approximate transmission conditions for a Poisson problem at
  mid-diffusion   This work consists in the asymptotic analysis of the solution of Poisson
equation in a bounded domain of $\mathbb{R}^{P}$ $(P=2,3)$ with a thin layer.
We use a method based on hierarchical variational equations to derive
asymptotic expansion of the solution with respect to the thickness of the thin
layer. We determine the first three terms of the expansion and prove the error
estimate made by truncating the expansion after a finite number of terms. Next,
using the first two terms of the asymptotic expansion, we show that we can
model the effect of the thin layer by a problem with transmission conditions of
order two.

13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc