Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the active manipulation of quasistatic fields and its applications   Following the ideas proposed in \cite{OMV1} and \cite{OMV2} on active
exterior cloaking, we present here a systematic integral equation method to
generate suitable quasistatic fields for cloaking, illusions and energy
focusing (with given accuracy) in multiple regions of interests. In the
quasistatic regime, the central issue is to design appropriate source functions
for the Laplace equation so that the resulting solution will satisfy the
required properties. We show the existence and non-uniqueness of solutions to
the problem and study the physically relevant unique $L^2$-minimal energy
solution. We also provide some numerical evidences on the feasibility of the
proposed approach.

28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas