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- Korn's_inequality abstract "In mathematical analysis, Korn's inequality is an inequality concerning the gradient of a vector field that generalizes the following classical theorem: if the gradient of a vector field is skew-symmetric at every point, then the gradient must be equal to a constant skew-symmetric matrix. Korn's theorem is a quantitative version of this statement, which intuitively says that if the gradient of a vector field is on average not far from the space of skew-symmetric matrices, then the gradient must not be far from a particular skew-symmetric matrix. The statement that Korn's inequality generalizes thus arises as a special case of rigidity.In (linear) elasticity theory, the symmetric part of the gradient is a measure of the strain that an elastic body experiences when it is deformed by a given vector-valued function. The inequality is therefore an important tool as an a priori estimate in linear elasticity theory.".
- Korn's_inequality wikiPageExternalLink www.encyclopediaofmath.org.
- Korn's_inequality wikiPageExternalLink Korn_inequality.
- Korn's_inequality wikiPageID "15185443".
- Korn's_inequality wikiPageRevisionID "594036794".
- Korn's_inequality hasPhotoCollection Korn's_inequality.
- Korn's_inequality subject Category:Inequalities.
- Korn's_inequality subject Category:Sobolev_spaces.
- Korn's_inequality subject Category:Solid_mechanics.
- Korn's_inequality type Abstraction100002137.
- Korn's_inequality type Attribute100024264.
- Korn's_inequality type Difference104748836.
- Korn's_inequality type Inequalities.
- Korn's_inequality type Inequality104752221.
- Korn's_inequality type Quality104723816.
- Korn's_inequality type SobolevSpaces.
- Korn's_inequality type Space100028651.
- Korn's_inequality comment "In mathematical analysis, Korn's inequality is an inequality concerning the gradient of a vector field that generalizes the following classical theorem: if the gradient of a vector field is skew-symmetric at every point, then the gradient must be equal to a constant skew-symmetric matrix.".
- Korn's_inequality label "Inégalité de Korn".
- Korn's_inequality label "Korn's inequality".
- Korn's_inequality sameAs Inégalité_de_Korn.
- Korn's_inequality sameAs m.03hl6_s.
- Korn's_inequality sameAs Q3154002.
- Korn's_inequality sameAs Q3154002.
- Korn's_inequality sameAs Korn's_inequality.
- Korn's_inequality wasDerivedFrom Korn's_inequality?oldid=594036794.
- Korn's_inequality isPrimaryTopicOf Korn's_inequality.