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- Korns_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.".
- Korns_inequality wikiPageExternalLink f603.image.
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- Korns_inequality wikiPageWikiLink A_priori_estimate.
- Korns_inequality wikiPageWikiLink Accademia_dei_Lincei.
- Korns_inequality wikiPageWikiLink Category:Inequalities.
- Korns_inequality wikiPageWikiLink Category:Sobolev_spaces.
- Korns_inequality wikiPageWikiLink Category:Solid_mechanics.
- Korns_inequality wikiPageWikiLink Comptes_rendus_de_lAcadxc3xa9mie_des_sciences.
- Korns_inequality wikiPageWikiLink Connected_space.
- Korns_inequality wikiPageWikiLink Deformation_(mechanics).
- Korns_inequality wikiPageWikiLink Dimension.
- Korns_inequality wikiPageWikiLink Elasticity_(physics).
- Korns_inequality wikiPageWikiLink Euclidean_space.
- Korns_inequality wikiPageWikiLink Gradient.
- Korns_inequality wikiPageWikiLink Hardys_inequality.
- Korns_inequality wikiPageWikiLink Linear_elasticity.
- Korns_inequality wikiPageWikiLink Lp_space.
- Korns_inequality wikiPageWikiLink Mathematical_analysis.
- Korns_inequality wikiPageWikiLink Norm_(mathematics).
- Korns_inequality wikiPageWikiLink Open_set.
- Korns_inequality wikiPageWikiLink Partial_derivative.
- Korns_inequality wikiPageWikiLink Rigidity_(mathematics).
- Korns_inequality wikiPageWikiLink Skew-symmetric_matrix.
- Korns_inequality wikiPageWikiLink Sobolev_space.
- Korns_inequality wikiPageWikiLink Society_for_Industrial_and_Applied_Mathematics.
- Korns_inequality wikiPageWikiLink Vector_field.
- Korns_inequality wikiPageWikiLinkText "Korn's inequality".
- Korns_inequality first "M. I.".
- Korns_inequality id "Korn_inequality&oldid=30665".
- Korns_inequality last "Voitsekhovskii".
- Korns_inequality title "Korn inequality".
- Korns_inequality wikiPageUsesTemplate Template:Citation.
- Korns_inequality wikiPageUsesTemplate Template:EquationNote.
- Korns_inequality wikiPageUsesTemplate Template:EquationRef.
- Korns_inequality wikiPageUsesTemplate Template:Math.
- Korns_inequality wikiPageUsesTemplate Template:NumBlk.
- Korns_inequality wikiPageUsesTemplate Template:SpringerEOM.
- Korns_inequality subject Category:Inequalities.
- Korns_inequality subject Category:Sobolev_spaces.
- Korns_inequality subject Category:Solid_mechanics.
- Korns_inequality hypernym Inequality.
- Korns_inequality type Inequality.
- Korns_inequality type Mechanic.
- Korns_inequality type Relation.
- Korns_inequality type Space.
- Korns_inequality type Theorem.
- Korns_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.".
- Korns_inequality label "Korn's inequality".
- Korns_inequality sameAs Q3154002.
- Korns_inequality sameAs Inégalité_de_Korn.
- Korns_inequality sameAs m.03hl6_s.
- Korns_inequality sameAs Korns_olikhet.
- Korns_inequality sameAs Q3154002.
- Korns_inequality wasDerivedFrom Korns_inequality?oldid=641609258.
- Korns_inequality isPrimaryTopicOf Korns_inequality.