Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Soil searching by an artificial root   We model an artificial root which grows in the soil for underground
prospecting. Its evolution is described by a controlled system of two
integro-partial differential equations: one for the growth of the body and the
other for the elongation of the tip. At any given time, the angular velocity of
the root is obtained by solving a minimization problem with state constraints.
We prove the existence of solutions to the evolution problem, up to the first
time where a "breakdown configuration" is reached. Some numerical simulations
are performed, to test the effectiveness of our feedback control algorithm.

14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph