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

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Original languageEnglish
Pages (from-to)943-947
Journal / PublicationComptes Rendus Mathematique
Issue number23-24
Online published7 Nov 2013
Publication statusPublished - Dec 2013


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.