Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analysis and control of a scalar conservation law modeling a highly
  re-entrant manufacturing system   In this paper, we study a scalar conservation law that models a highly
re-entrant manufacturing system as encountered in semi-conductor production. As
a generalization of \cite{CKWang}, the velocity function possesses both the
local and nonlocal character. We prove the existence and uniqueness of the weak
solution to the Cauchy problem with initial and boundary data in $L^{\infty}$.
We also obtain the stability (continuous dependence) of both the solution and
the out-flux with respect to the initial and boundary data. Finally, we prove
the existence of an optimal control that minimizes, in the $L^p$-sense with
$p\in [1,\infty)$, the difference between the actual out-flux and a forecast
demand over a fixed time period.

12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess