Control of transonic shock positions
ESAIM: Control, Optimisation and Calculus of Variations, Tome 8 (2002) , pp. 907-914.

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 .

DOI : https://doi.org/10.1051/cocv:2002034
Classification : 35,  65,  76,  93
Mots clés : partial differential equations, control, calculus of variation, nozzle flow, sensitivity, transonic equation
@article{COCV_2002__8__907_0,
author = {Pironneau, Olivier},
title = {Control of transonic shock positions},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
pages = {907--914},
publisher = {EDP-Sciences},
volume = {8},
year = {2002},
doi = {10.1051/cocv:2002034},
zbl = {1069.35043},
mrnumber = {1932979},
language = {en},
url = {archive.numdam.org/item/COCV_2002__8__907_0/}
}
Pironneau, Olivier. Control of transonic shock positions. ESAIM: Control, Optimisation and Calculus of Variations, Tome 8 (2002) , pp. 907-914. doi : 10.1051/cocv:2002034. http://archive.numdam.org/item/COCV_2002__8__907_0/

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