Characterization of optimal shapes and masses through Monge-Kantorovich equation
Journal of the European Mathematical Society, Tome 3 (2001) no. 2, pp. 139-168
Voir la notice de l'article provenant de la source EMS Press
We study some problems of optimal distribution of masses, and we show that they can be characterized by a suitable Monge-Kantorovich equation. In the case of scalar state functions, we show the equivalence with a mass transport problem, emphasizing its geometrical approach through geodesics. The case of elasticity, where the state function is vector valued, is also considered. In both cases some examples are presented.
Guy Bouchitté; Giuseppe Buttazzo. Characterization of optimal shapes and masses through Monge-Kantorovich equation. Journal of the European Mathematical Society, Tome 3 (2001) no. 2, pp. 139-168. doi: 10.1007/s100970000027
@article{JEMS_2001_3_2_a1,
author = {Guy Bouchitt\'e and Giuseppe Buttazzo},
title = {Characterization of optimal shapes and masses through {Monge-Kantorovich} equation},
journal = {Journal of the European Mathematical Society},
pages = {139--168},
year = {2001},
volume = {3},
number = {2},
doi = {10.1007/s100970000027},
url = {http://geodesic.mathdoc.fr/articles/10.1007/s100970000027/}
}
TY - JOUR AU - Guy Bouchitté AU - Giuseppe Buttazzo TI - Characterization of optimal shapes and masses through Monge-Kantorovich equation JO - Journal of the European Mathematical Society PY - 2001 SP - 139 EP - 168 VL - 3 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.1007/s100970000027/ DO - 10.1007/s100970000027 ID - JEMS_2001_3_2_a1 ER -
%0 Journal Article %A Guy Bouchitté %A Giuseppe Buttazzo %T Characterization of optimal shapes and masses through Monge-Kantorovich equation %J Journal of the European Mathematical Society %D 2001 %P 139-168 %V 3 %N 2 %U http://geodesic.mathdoc.fr/articles/10.1007/s100970000027/ %R 10.1007/s100970000027 %F JEMS_2001_3_2_a1
Cité par Sources :