Claire David

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Claire David is a French mathematician, who works on the modeling of singular objects, of fractal type. Her recent work is devoted to the Weierstrass curve, introduced in 1872 by K. Weierstrass, which exhibits self-similarity properties, and had not previously been considered under the prism of analysis on fractals. The advantage of this curve is that, unlike classical fractal curves (for instance, the Koch one), the points are not distributed symmetrically, which makes it a model for disordered environments.

One of David's contributions is to have defined a new measure, suitable for analysis on this type of object, since the Hausdorff measure does not allow specific Euclidean geometric conditions to be taken into account as required, for instance, by the Markov inequality.

Education and Career

After preparatory classes in Lycée Saint-Louis, and a pure Mathematics Master at University Pierre and Marie Curie, David was a student at Ecole Normale Supérieure de Cachan.

She is now a member of Laboratoire Jacques-Louis Lions (Sorbonne Université).

Selected articles

Laplacian, on the Arrowhead Curve, Proceedings of the International Geometry Center, 13 (2), 2020, pages 19-49.

On fractal properties of Weierstrass-type functions, Proceedings of the International Geometry Center, 12 (2), 2019, pages 43-61.

Bypassing dynamical systems : A simple way to get the boxcounting dimension of the graph of the Weierstrass function, Proceedings of the International Geometry Center, 11 (2), 2018, pages 1-16.

Books

In bold underlined: Main author

• Claire David, Pierre Gosselet, Equations aux dérivées partielles, seconde édition, revue et augmentée, Dunod, collection « Sciences Sup », 2015, ISBN-13 : 978-2100727469, ISBN-10 : 210072746X, 280 pages.
• Claire David, Modelling of Multilayered Piezoelectric Composites, 2008, NOVA Publishers, 72 p., ISBN-13 : 978-1-60456-868-4, ISBN-10 : 1-60456-868-2.
• Patrick Muller, Claire David, Introduction aux coques minces élastiques, (1999), HERMES, 165 p., ISBN 2-7462-0067-8.
• Claire David, Calcul vectoriel, Seconde édition, revue et augmentée, Dunod, 2017, ISBN-13 : 9978-2100769278, ISBN-10 : 2100769278, 280 pages.
• Claire David, Sami Mustapha, Mathématiques, Licence 1, Capes, Seconde édition, revue et augmentée, Dunod, 2017, ISBN-13 : 978-2100769322, ISBN-10 : 2100769324, 516 pages.
• Claire David, Sami Mustapha, Frederi Viens, N. Capron, Mathématiques et probabilités pour les sciences de la Vie, Dunod, 2014, ISBN-13 : 978-2100599776, ISBN-10 : 2100599771, 528 pages.

See also

External Links

• Page Laboratory Jacques-Louis Lions - Sorbonne University.

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