New identity and Korn's inequalities on a surface

Philippe G. Ciarlet; Yifeng Hou; Cristinel Mardare

doi:10.1016/j.crma.2014.12.003

New identity and Korn's inequalities on a surface

Department of Mathematics

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

Abstract

We 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.

Original language	English
Pages (from-to)	369-374
Journal	Comptes Rendus Mathematique
Volume	353
Issue number	4
Online published	18 Feb 2015
DOIs	https://doi.org/10.1016/j.crma.2014.12.003
Publication status	Published - Apr 2015

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title = "New identity and Korn's inequalities on a surface",

abstract = "We 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.",

author = "Ciarlet, \{Philippe G.\} and Yifeng Hou and Cristinel Mardare",

year = "2015",

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T1 - New identity and Korn's inequalities on a surface

AU - Ciarlet, Philippe G.

AU - Hou, Yifeng

AU - Mardare, Cristinel

PY - 2015/4

Y1 - 2015/4

N2 - We 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.

AB - We 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.

UR - https://www.scopus.com/pages/publications/84924501443

UR - https://www.scopus.com/pages/publications/84924501443#tab=impact

U2 - 10.1016/j.crma.2014.12.003

DO - 10.1016/j.crma.2014.12.003

M3 - RGC 21 - Publication in refereed journal

SN - 1631-073X

VL - 353

SP - 369

EP - 374

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 4

ER -

New identity and Korn's inequalities on a surface

Abstract

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