no. 3
Reconstruction of algebraic sets from dynamic moments
Putinar, Gabriela1 ; Putinar, Mihai1
1 Department of Mathematics, University of California, Santa Barbara, CA 93106, U.S.A.
Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 16 (2007) no. 3, pp. 647-664.

Nous présentons un algorithme de reconstruction exacte pour des domaines sémi-algèbriques croissants en temps, qui sont donnés par une seule inegalité polyno ^miale. La motivation théoretique vient du L-problème classique des moments, et nous esquissons une application possible aux fluides 2D avec des frontières mobiles. Les démonstrations sont basées sur le théorème de la co-aire et utilisent aussi la minimization d’une forme de Hankel.

We discuss an exact reconstruction algorithm for time expanding semi-algebraic sets given by a single polynomial inequality. The theoretical motivation comes from the classical L-problem of moments, while some possible applications to 2D fluid moving boundaries are sketched. The proofs rely on an adapted co-area theorem and a Hankel form minimization.

DOI : 10.5802/afst.1163
Putinar, Gabriela 1 ; Putinar, Mihai 1

1 Department of Mathematics, University of California, Santa Barbara, CA 93106, U.S.A. 
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Putinar, Gabriela; Putinar, Mihai. Reconstruction of algebraic sets from dynamic moments. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 16 (2007) no. 3, pp. 647-664. doi : 10.5802/afst.1163. http://www.numdam.org/articles/10.5802/afst.1163/

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