The space H(div, {dot operator}) on a surface - Application to Donati-like compatibility conditions on a surface

Philippe G. Ciarlet; Oana Iosifescu

doi:10.1016/j.crma.2013.10.023

Author(s)

Philippe G. Ciarlet
Oana Iosifescu

Related Research Unit(s)

Department of Mathematics

Detail(s)

Original language	English
Pages (from-to)	943-947
Journal / Publication	Comptes Rendus Mathematique
Volume	351
Issue number	23-24
Online published	7 Nov 2013
Publication status	Published - Dec 2013

Link(s)

DOI	DOI https://doi.org/10.1016/j.crma.2013.10.023 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-84888856003&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(7256d975-f5ce-46e6-bfaa-ab36a6a79f07).html

Abstract

In this Note, we show how the analogue of the classical space H(div, {dot operator}) can be defined on a surface. We then establish several properties of this space, notably the existence of a basic Green's formula satisfied by its elements. These results are then used for identifying Donati-like compatibility conditions on a surface. © 2013 Académie des sciences.

Citation Format(s)

[ RIS ] [ BibTeX ]

The space H(div, {dot operator}) on a surface - Application to Donati-like compatibility conditions on a surface. / Ciarlet, Philippe G.; Iosifescu, Oana.
In: Comptes Rendus Mathematique, Vol. 351, No. 23-24, 12.2013, p. 943-947.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Ciarlet, PG & Iosifescu, O 2013, 'The space H(div, {dot operator}) on a surface - Application to Donati-like compatibility conditions on a surface', Comptes Rendus Mathematique, vol. 351, no. 23-24, pp. 943-947. https://doi.org/10.1016/j.crma.2013.10.023

Ciarlet, P. G., & Iosifescu, O. (2013). The space H(div, {dot operator}) on a surface - Application to Donati-like compatibility conditions on a surface. Comptes Rendus Mathematique, 351(23-24), 943-947. https://doi.org/10.1016/j.crma.2013.10.023

Ciarlet PG, Iosifescu O. The space H(div, {dot operator}) on a surface - Application to Donati-like compatibility conditions on a surface. Comptes Rendus Mathematique. 2013 Dec;351(23-24):943-947. Epub 2013 Nov 7. doi: 10.1016/j.crma.2013.10.023

Ciarlet, Philippe G. ; Iosifescu, Oana. / The space H(div, {dot operator}) on a surface - Application to Donati-like compatibility conditions on a surface. In: Comptes Rendus Mathematique. 2013 ; Vol. 351, No. 23-24. pp. 943-947.