Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bloch-wave homogenization on large time scales and dispersive effective
  wave equations   We investigate second order linear wave equations in periodic media, aiming
at the derivation of effective equations in $\R^n$, $n \in \{1, 2, 3\}$.
Standard homogenization theory provides, for the limit of a small periodicity
length $\eps>0$, an effective second order wave equation that describes
solutions on time intervals $[0,T]$. In order to approximate solutions on large
time intervals $[0,T\eps^{-2}]$, one has to use a dispersive, higher order wave
equation. In this work, we provide a well-posed, weakly dispersive effective
equation, and an estimate for errors between the solution of the original
heterogeneous problem and the solution of the dispersive wave equation. We use
Bloch-wave analysis to identify a family of relevant limit models and introduce
an approach to select a well-posed effective model under symmetry assumptions
on the periodic structure. The analytical results are confirmed and illustrated
by numerical tests.

21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg