Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact and optimal controllability for scalar conservation laws with
  discontinuous flux   This paper describes the reachable set and resolves an optimal control
problem for the scalar conservation laws with discontinuous flux. We give a
necessary and sufficient criteria for the reachable set. A new backward
resolution has been described to obtain the reachable set. Regarding the
optimal control problem we first prove the existence of a minimizer and then
the backward algorithm allows us to compute it. The same method also applies to
compute the initial data control for an exact control problem. Our methodology
for the proof relies on the explicit formula for the conservation laws with the
discontinuous flux and finer properties of the characteristics curves.

21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs