A nonlinear Korn inequality on a surface with an explicit estimate of the constant.
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| Title: | A nonlinear Korn inequality on a surface with an explicit estimate of the constant. |
|---|---|
| Alternate Title: | Une inégalité de Korn non linéaire sur une surface avec une majoration explicite de la constante. |
| Authors: | Malin, Maria1 malinmaria@yahoo.com, Mardare, Cristinel2 cmardare@cityu.edu.hk |
| Source: | Comptes Rendus. Mathématique. 2021, Vol. 359 Issue 1, p105-111. 7p. |
| Subjects: | Vector fields |
| Abstract (English): | A nonlinear Korn inequality on a surface estimates a distance between a surface θ(ω) and another surface φ(ω) in terms of distances between their fundamental forms in the space L p (ω), 1 < p < ∞. We establish a new inequality of this type. The novelty is that the immersion θ belongs to a specific set of mappings of class C ¹ from ω into R ³ with a unit vector field also of class C 1 over ω. [ABSTRACT FROM AUTHOR] |
| Abstract (French): | Une inégalité de Korn non linéaire sur une surface estime une distance entre une surface θ(ω) et une autre surface φ(ω) en fonction des distances entre leur formes fondamentales dans l’espace L p (ω), 1 < p < ∞. Nous établissons une nouvelle inégalité de ce type. La nouveauté réside dans l’appartenance de l’immersion θ à un ensemble particulier d’applications de classe C 1 de ω dans R 3 avec un champ de vecteurs normaux unitaires aussi de classe C 1 dans ω. [ABSTRACT FROM AUTHOR] |
| Copyright of Comptes Rendus. Mathématique is the property of Academie des Science, Centre Mersenne and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 160082899 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: A nonlinear Korn inequality on a surface with an explicit estimate of the constant. – Name: TitleAlt Label: Alternate Title Group: TiAlt Data: Une inégalité de Korn non linéaire sur une surface avec une majoration explicite de la constante. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Malin%2C+Maria%22">Malin, Maria</searchLink><relatesTo>1</relatesTo><i> malinmaria@yahoo.com</i><br /><searchLink fieldCode="AR" term="%22Mardare%2C+Cristinel%22">Mardare, Cristinel</searchLink><relatesTo>2</relatesTo><i> cmardare@cityu.edu.hk</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Comptes+Rendus%2E+Mathématique%22">Comptes Rendus. Mathématique</searchLink>. 2021, Vol. 359 Issue 1, p105-111. 7p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Vector+fields%22">Vector fields</searchLink> – Name: Abstract Label: Abstract (English) Group: Ab Data: A nonlinear Korn inequality on a surface estimates a distance between a surface θ(ω) and another surface φ(ω) in terms of distances between their fundamental forms in the space L p (ω), 1 < p < ∞. We establish a new inequality of this type. The novelty is that the immersion θ belongs to a specific set of mappings of class C ¹ from ω into R ³ with a unit vector field also of class C 1 over ω. [ABSTRACT FROM AUTHOR] – Name: Abstract Label: Abstract (French) Group: Ab Data: Une inégalité de Korn non linéaire sur une surface estime une distance entre une surface θ(ω) et une autre surface φ(ω) en fonction des distances entre leur formes fondamentales dans l’espace L p (ω), 1 < p < ∞. Nous établissons une nouvelle inégalité de ce type. La nouveauté réside dans l’appartenance de l’immersion θ à un ensemble particulier d’applications de classe C 1 de ω dans R 3 avec un champ de vecteurs normaux unitaires aussi de classe C 1 dans ω. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Comptes Rendus. Mathématique is the property of Academie des Science, Centre Mersenne and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.5802/crmath.122 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 7 StartPage: 105 Subjects: – SubjectFull: Vector fields Type: general Titles: – TitleFull: A nonlinear Korn inequality on a surface with an explicit estimate of the constant. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Malin, Maria – PersonEntity: Name: NameFull: Mardare, Cristinel IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Text: 2021 Type: published Y: 2021 Identifiers: – Type: issn-print Value: 1631073X Numbering: – Type: volume Value: 359 – Type: issue Value: 1 Titles: – TitleFull: Comptes Rendus. Mathématique Type: main |
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