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  Generalized Korn's inequality and conformal Killing vectors

Dain, S. (2006). Generalized Korn's inequality and conformal Killing vectors. Calculus of Variations and Partial Differential Equations, 25(4), 535-540.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-4A75-6 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-4A76-4
Genre: Journal Article

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cvpda535.pdf (Publisher version), 194KB
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 Creators:
Dain, Sergio1, Author
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1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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 Abstract: Korn's inequality plays an important role in linear elasticity theory. This inequality bounds the norm of the derivatives of the displacement vector by the norm of the linearized strain tensor. The kernel of the linearized strain tensor are the infinitesimal rigid-body translations and rotations (Killing vectors). We generalize this inequality by replacing the linearized strain tensor by its trace free part. That is, we obtain a stronger inequality in which the kernel of the relevant operator are the conformal Killing vectors. The new inequality has applications in General Relativity.

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Language(s): eng - English
 Dates: 2006-04
 Publication Status: Issued
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 Identifiers: eDoc: 298045
ISI: 000236736500006
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Title: Calculus of Variations and Partial Differential Equations
  Alternative Title : Calc. Var. Partial Differ. Equ.
Source Genre: Journal
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Pages: - Volume / Issue: 25 (4) Sequence Number: - Start / End Page: 535 - 540 Identifier: ISSN: 0944-2669