| Issue |
ESAIM: COCV
Volume 8, 2002
A tribute to JL Lions
|
|
|---|---|---|
| Page(s) | 907 - 914 | |
| DOI | https://doi.org/10.1051/cocv:2002034 | |
| Published online | 15 August 2002 | |
Control of Transonic Shock Positions
Université Paris VI, IUF and INRIA, France; Pironneau@math.jussieu.fr.
Received:
14
January
2002
We wish to show how the shock position in a nozzle could be controlled. Optimal control theory and algorithm is applied to the transonic equation. The difficulty is that the derivative with respect to the shock position involves a Dirac mass. The one dimensional case is solved, the two dimensional one is analyzed .
Mathematics Subject Classification: 35 / 65 / 76 / 93
Key words: Partial differential equations / control / calculus of variation / nozzle flow / sensitivity / transonic equation.
© EDP Sciences, SMAI, 2002
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