Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Null controllability of the heat equation using flatness   We derive in a direct and rather straightforward way the null controllability
of the N-dimensional heat equation in a bounded cylinder with boundary control
at one end of the cylinder. We use the so-called flatness approach, which
consists in parameterizing the solution and the control by the derivatives of a
"flat output". This yields an explicit control law achieving the exact steering
to zero. Replacing the involved series by partial sums we obtain a simple
numerical scheme for which we give explicit error bounds. Numerical experiments
demonstrate the relevance of the approach.

27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph