Open AccessNew identity and Korn's inequalities on a surface
Author(s) -
Philippe G. Ciarlet,
Yifeng Hou,
Cristinel Mardare
Publication year - 2015
Publication title -
comptes rendus mathématique
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.803
H-Index - 68
eISSN - 1778-3569
pISSN - 1631-073X
DOI - 10.1016/j.crma.2014.12.003
Subject(s) - mathematics , identity (music) , surface (topology) , inequality , boundary (topology) , pure mathematics , humanities , geometry , mathematical analysis , philosophy , aesthetics
International audienceWe establish an identity satisfied by smooth-enough vector fields defined on a surface S ⊂ R3 with values in R3 . As consequences of this identity, we establish several new Korn inequalities for vector fields that vanish on the entire boundary of this surface
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